Straight lines Questions and Answers

Given g(x)=x²-4x, find the equation of the secant line passing through (-4, g (-4)) and (2, g (2)). Write your answer in the form y=mx+b.

A cell phone company charges $40 per month for unlimited calling, and $0.20 per text message sent. If t represents the number of text messages Roxy sent last month, which expression represents the cost of her bill last month before any taxes or additional fees?

Given g(x)=x²-5x, find the equation of the secant line passing through (-3, g (-3)) and (4, g (4)). Write your answer in the form y=mx+b.

Write the slope-intercept form of the equation of each line given the slope and y-intercept. Slope: -1/3 y intercept: -3

Answer the following as true or false. If it is false change the answer to make it true. a) The intersection of the centroid is the center or gravity for the triangle. b) The intersection of the centroid is outside the triangle for an obtuse triangle. c) The intersection of the incenter is sometimes outside the triangle. d) The intersection of the circumcenter is always outside the triangle.

A waitress sold 13 ribeye steak dinners and 24 grilled salmon dinners, totaling $565.26 on a particular day. Another day she sold 20 ribeye steak dinners and 12 grilled salmon dinners, totaling $581.84. How much did each type of dinner cost?

Graph the line that passes through the points (5,0) and (-5, 4) and determine the equation of the line.

It is given to you that an equation of the tangent line to the graph of y = g(x) at x = 16 is 6x + 9y = 15 It follows that y = ___ and that y is the equation of the tangent line to y = g(x²) at x = 4 iand that y = ____ the equation of the tangent line to y = (g(x))² at x = 16.

What is the slope of a line perpendicular to the line whose equation is x - 3y = 12. Fully simplify your answer.

The equation y = 1/2 x - 12 represents a function where x is the input and y is the output. Which of the following statements correctly describes the function? The graph is nonlinear because it is always increasing. The graph is nonlinear because it increases at a constant rate. The graph is linear because it is always increasing. The graph is linear because it increases at a constant rate.

There is a line that includes the point (5, 5) and has a slope of 7/5. What is its equation in slope-intercept form? Write your answer using integers, proper fractions, and improper fractions in simplest form.

Find an equation for the line perpendicular to y=x+5 with y-intercept (0.-13). Write the answer in slope-intercept form. The equation of the line in slope-intercept form is (Simplify your answer. Use integers or fractions for any numbers in the equation. Do not factor)

You're a manager in a company that produces rocket ships. Machine A and Machine B both produce cockpits and propulsion sy stems. Machine A ran for 22 hours and produced 3 cockpits and 5 propulsion systems. Machine B ran for 44 hours and produc ed 6 cockpits and 10 propulsion systems. Assume both machines produce cockpits at the same rate and both produce propuls ion systems at the same rate. Can we use a system of linear equations in two variables to solve for a unique amount of time th at it takes each machine to produce a cockpit and to produce a propulsion system? Choose 1 answer: Yes; it takes Machine A a nd Machine B 4 hours to buduce a cockpit and 2 hours to produce a propulsion system. B Yes, it takes Machine A and Machine B 2 hours to produce a cockpit and 4 hours to produce a propulsion system. No: the system has many solutions. No, the syste m has no solution.

A graphing calculator is recommended. (a) Find the equation for the tangent line to the curve fix) = x² - 3x + 6 at x = 2, writing the equation in slope-intercept form. (b) Use a graphing calculator to graph the curve together with the tangent line to verify your answer.

The phone company A Fee and Fee has a monthly cellular plan where a customer pays a flat monthly fee and then a certain amount of money per minute used on the phone. If a customer uses 280 minutes, the monthly cost will be $142. If the customer uses 650 minutes, the monthly cost will be $290. A. Find an equation in the form y = ma+b, where is the number of monthly minutes used and y is the total monthly cost of the A Fee and Fee plan. y = B. If 907 minutes are used, the total cost will be

Select the correct answer below: x-intercepts: (7,0), (-5,0), and (-6,0). y-intercept: (0,0) x-intercepts: (-7,0), (5,0), and (6,0). y-intercept: (0,0) x-intercepts: (7,0), (-5,0), and (-6,0). y-intercept: (0, -210) x-intercepts: (-7,0), (5,0), and (6,0). y-intercept: (0,210) x-intercepts: (7,0), (-5,0), and (-6,0). y-intercept: (0,210) x-intercepts: (-7,0), (5,0), and (6,0). y-intercept: (0, -210)

Solve the following equation. Be sure to check your proposed solution by substituting it for the variable in the given equation. 7x-19=-124 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is ) (Type an integer or a simplified fraction) B. The solution set is (x] x is a real number). C. The solution set is.

Find the equation of the line through (3, 1) with slope 7. Enter your solution in the form y = mx + b. y =

Below, one description, one graph, and one equation are equivalent. Choose the proper set. You start with 2 Xbox360 games and each month you buy 2 new games. You start with 3 Xbox360 games and each month you buy 3 new games.

Find the equation of the line through (2, a) and (8, b). y =

Find the equation of the line through (8,-1) which meets the x-axis at x = 3. Enter your solution in the form y = mx + b.

a. Rewrite the given equation 4x +9y-36=0 slope-intercept form. b. Give the slope and y-intercept. c. Use the slope and y-intercept to graph the linear function.

Find where the line which passes through the two points (1, 2) and (3, 5) intersects the line through (2, 1) and (8, -7). x = y =

Write an equation of a line in slope-intercept form through the point (1, -5) and parallel to a line that passes through the points (4, 3) and (-2, 9). Show all work.

Screwball Jones, a mathematically-minded frog, tries to find the equation of the line containing the point (-6, -3) and perpendicular to 4y + 3x = 7 using the point-slope form. He solves the given line for: 4y + 3x = 7 4y = -3x + 7 y= -3/4 x + 7/4 Screwball Jones substitutes in the following: y-6=-3/4 (x + 3) to find a final equation of y= -3/4 x + 15/4 Describe any errors Screwball might have made, and then use the point-slope form to find the correct equation. Write your final equation in slope-intercept form.

Find the equation of the line that passes through the point (1, 2) and is parallel to the line y = 9x + 2. Express your equation in slope-intercept form, and give the full equation as your answer. The equation is

Let l be the tangent line to the parabola y = 3x² at the point (1, 3). The angle of inclination of l is the angle that makes with the positive direction of the x-axis. Find y'. y' = Find the slope m of the tangent line at the point (1, 3). M = Calculate to the nearest degree.

The slope of a line that passes through two points (x₁, y₁) and (x2, Y2) (Select all that apply.) can be evaluated by y₁ over X1. can be written as Δy/Δx. can be determined by the change of y over the change of x. is the square root of the sum of (x2 - x₁)² and (y₂ - Y₁)². is dy/dx. is a measure of the average rate change of y with respect to x. is a measure of the steepness of the line. can be calculated by using the formula of "rise over run".

Use the point-slope form to determine the linear equation with the information provided. Write your final equation in slope-intercept form. a. f(5) = -6 and f(-3) = 11. b. Containing the point (-16, 3) and parallel to f(x) = 3/2 x + 7. c. Containing the point (8, 5) and perpendicular to 6x - 5y = 9.

A line passes through the points (2, 10) and (5, 19). Find this line's equation in point-slope form. Using the point (2, 10), this line's point-slope form equation is Using the point (5, 19), this line's point-slope form equation is

The graph of linear function f passes through the point (4, -4) and has a slope of -2. What is the zero of f? A. -4 B. 4 C. 2 D. -2

Consider the line y=-2/3x+2. Find the equation of the line that is perpendicular to this line and passes through the point (-8, 3). Find the equation of the line that is parallel to this line and passes through the point (-8, 3). Note that the ALEKS graphing calculator may be helpful in checking your answer.

Look at this graph: What is the equation of the line in point-slope form? Use the red point in your equation. Write your answer using integers, proper fractions, and improper fractions in simplest form.

A line includes the points (3, -7) and (10, -8). What is its equation in point-slope form? Use one of the specified points in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions.

Find the equation of the line that is perpendicular to the line y = -4x and passes through the point (5,8) Write the equatin in point-slope form. Use this space to write down notes or work through problems.

Write the standard form of the line that contains a y-intercept of -3 and passes through the point (3, 0). Include your work in your final answer. Type your answer in the box provide to submit your solution.

The table below represents a linear function. Identify the slope of the function. x y 0 3 4 -4 8 -11 12 -18

Write an equation of the line that passes through (2,-4) and is perpendicular to the line defined by x-2y=-6. Write the answer in slope-intercept possible) and in standard form (Ax+By=C) with smallest integer coefficients. Use the "Cannot be written" button, if applicable.

Write the equation of the line described below in point-slope form. Find the equation of the line that is perpendicular to the line y=-3x+6 and passes through the point (0, 0) Write the equatin in point-slope form.

Write the equation of the line in slope-intercept form that has a slope of 2 and passes through the point (2,10).

Find the slope of a line that is a. parallel and b. perpendicular to the line with the given equation. 3x+y=8 a. What is the slope of a line parallel to the line whose equation is 3x+y=8? Select the correct choice below and fill in any answer boxes within your choice. A. m= B. The slope is undefined.

Put the following equation in standard forin: x = 10y - 9 If, in standard form, A = 1, what are the values of B and C?

Are the lines parallel? 2x + 3y = 5; 6x +9y = 10

Linear Equations and Functions Review Which of the following are True statements about the slope of a line? Check all that apply. DAvertical line has an undefined slope Slope is defined as the ratio Avertical line has a slope of Slope is defined as the ratio Change in Output Change in Input zero Change in Input Change in Output Slope is a measure of steepness and direction

Does the system below have a unique solution, no solution, or many solutions? What does this mean graphically? 4x+10y = 12 x+2.5y = 3 Does the system have a unique solution, no solution, or many solutions? A. no solution B. many solutions C. a unique solution

proof. A. Addition Property of Equality B. Subtraction Property of Equality C. Multiplication Property of Equality D. Division Property of Equality

Find the distance between the two points rounding to the nearest tenth (if necessary). (2, 8) and (-3,-4)

Consider the following two linear functions, f(x) = -6x +2 (a) Which line has a greater slope? A. f(x) has greater slope. B. g(x) has greater slope. C. Their slopes are equal. (b) Which line has a greater y-intercept? A. f(x) has a greater y-intercept. B. g(x) has a greater y-intercept. C. Their y-intercepts are equal.

Thrift rents a compact car for $37 per day, and General rents a similar car for $20 per day plus an initial fee of $136. For how many days d would it be cheaper to rent from General? d> Graph the solution.

The graphs of two linear functions have the same x-intercept, but different slopes. Can they have the same y-intercept? Yes, and the y-intercept can take on any value. Yes, if the y-intercept is 1. Yes, if the y-intercept is 0. Yes, if the y-intercept is - 1. No.