Straight lines Questions and Answers

Write a slope-intercept equation for a line with the given characteristics. passes through (-3,-2) The slope-intercept equation for the line with the given characteristics is

Find the slope-intercept equation of the line that has the given characteristics. Slope -11/7 and y-intercept (0,-2)

A reflection maps the point (2, 3) to the point (-2, 3). It is a reflection over the x-axis y-axis line y = x

Use the given conditions to write an equation for the line in point-slope form and in slope-intercept form. Passing through (5.-6) and perpendicular to the line whose equation is y=x+2 Write an equation for the line in point-slope form. (y+6)= -2(x-5).

Any line with an undefined slope is parallel to the line y = x y-axis x-axis

Given the points A(0, 0), B(e, f), C(0, e) and D(f, 0), determine if line segments AB and CD are parallel, perpendicular or neither. parallel neither perpendicular

Write a slope-intercept equation for a line passing through the point (5,-4) that is parallel to the line 5x+6y=7. Then write a second equation for a line passing through the point (5,-4) that is perpendicular to the line 5x+6y=7. 5x1 The equation of the parallel line is y=- (Simplify your answer. Type your answer in slope-intercept form. Use integers or fractions for any numbers in the expression.) The equation of the perpendicular line is

Point (0, 6) lies on the line y = x x-axis y-axis

Hans is planting a garden with snapdragons and daisies. The table shows some possible combina of the two plants. If Hans plants 29 daisies, how r snapdragons will he plant? The equation Hans will plant models the scenario. snapdragons.

Select all that apply. The equation of a line can be found for which situations? Two points on the line are known. Three points in the coordinate plane are known. The slope is known A point on the line and the slope are known. A point on the line and another point in the coordinate plane are known.

The distance between A (-4, 2) and B(4, 2) is. 4 6 8

Given that - 24x^8 + 3x^36y + y^9 = -20 compute dy/dx= Now find an equation of the line tangent to the graph of -24x^8 + 3x^36y + y^9 = -20 at (1, 1)

Indicate in standard form the equation of the line passing through the given points, writing the answer the equation box below. B(0, 0), C(4,-4)

Indicate the equation of the given line in standard form. Write the answer in the equation box below. The line containing the median of the trapezoid whose vertices are R(-1, 5), S(1, 8), 7(7,-2), and U2, 0).

Indicate the equation of the given line in standard form, writing the answer in the equation box below. The line containing the altitude to the hypotenuse of a right triangle whose vertices are P(-1, 1), Q(3, 5), and R(5,-5).

If P = (5,4), find the image of P under the following rotation. 180° counterclockwise about the origin ([?], [ ]) Enter the number that belongs in the green box. Enter

Indicate the equation of the given line in standard form, in the equation box below. The line through point (-3, 4) and perpendicular to a line that has slope 2/5

If P (5,4), find the image. of P under the following rotation. 270° counterclockwise about the origin

The slope of a line is -1/3. Find the slope of a line that is perpendicular to this line. -3 1/3 3

4 Workout Plus offers a membership for $30 each month plus a $100 startup fee. Fit Works offers a membership for $50 each month plus a $20 startup fee. The equations for each membership plan are given below. Graph the equations to determine after how many months membership costs will be the same. y = 30x + 100 y = 50x + 20 After how many months (x) will memberships to both gyms cost the same amount? (A.REI.C.6)

The coordinates of a triangle are given as A(3, 2), B(-4, 1), C(-3, -2). What are the coordinates of the image after the triangle is reflected in the line y = x? A' B' C'

If P (2,-1), find the image of P under the following rotation. 180° counterclockwise about the origin

A system of linear equations contains two equations with negative reciprocal slopes. Select the correct statement. A. The system will have two solutions. B. The system may have no solution. C. The system will have one solution. D. The system may have infinitely many solutions.

What is the equation of the line with an x-intercept of -1 and a y-intercept of 2? y=2x-2 y = 2x + 2 y=-2x+2

Given: x + y = 6. If x € (-15, -6, -1), then which of the following sets of ordered pairs are solutions? ((-15, 21), (-6, 12), (-1, -7)) ((-15, 21), (-6, 12), (-1, 7)) ((-15, -21), (-6, -12), (-1, -7))

What is the slope of the line that passes through (-2, 7) and (4, 9)? slope = -1/3 slope = 3 slope = 1/3

Choose the option that best completes the statement. Following a translation, the measures of the angles in a pre-image are in the opposite orientation of the corresponding angles in its image. are congruent to the measures of the corresponding angles in its image. are larger or smaller based on the scale factor used of the corresponding angles in its image. are at the same angle displacement about a given point.

What is the equation of the line that passes through (-3, -1) and has a slope of 3/5? Put your answer in slope-intercept form. y= -3/5x - 4/5 y= 3/5x + 4/5 y= 3/5x - 4/5

Equation x-x1/cosθ = y-y1/sinθ = r, may represents - (A) Equation of straight line, ife is constant and r is variable. (B) Equation of a circle, if r is constant & is variable. (C) A straight line passing through a fixed point & having a known slope (D) A circle with a known centre and given radius.

A line has a slope of and passes through the point (-1, -10). What is its equation in point-slope form? Use the specified point in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions.

The point P (1/2,8) lies on the curve y=4/x. If Q is the point, (x,4/x), find the slope of the secant line PQ for the following values of x. If x = 0.6, the slope of PQ is: 40/3 and if x = 0.51, the slope of PQ is: -18 and if x = 0.4, the slope of PQ is: -20 and if x = 0.49, the slope of PQ is: -18 Based on the above results, guess the slope of the tangent line to the curve at P(0.5, 8): -16

Write an equation in slope-intercept form for the line that passes through the given point (-1,-7) and is perpendicular to the graph of 3x +12y=-6.

Chin was shown the graph of a line that contained point (1, 7). He wrote f(x) = 4x + 3 to correctly represent the line. Which of these equations could represent the same line? y-7=3(x-1) y-1=3(x-7) y-7=4(x-1) y-1=4(x-7)

The polar coordinates of a point are (-12,-2π). Find the rectangular coordinates of this point. The rectangular coordinates are__ (Simplify your answer. Type an ordered pair. Type an exact answer for each coordinate, using radicals as needed. Use integers or fractions for any numbers in the expression.)

Find the rectangular equation of the line given by the parametric equations below. Then graph the line and show its orientation. Assume that I can be any real number. x=t/4+2, y=t+3 Rectangular equation:

Consider the line y=-9x+7. Find the equation of the line that is perpendicular to this line and passes through the point (5, 6). Find the equation of the line that is parallel to this line and passes through the point (5, 6). Note that the ALEKS graphing calculator may be helpful in checking your answer. Equation of perpendicular line: Equation of parallel line:

Consider the line y= 5/ 9x-1. Find the equation of the line that is perpendicular to this line and passes through the point (9, 3). Find the equation of the line that is parallel to this line and passes through the point (9, 3). Note that the ALEKS graphing calculator may be helpful in checking your answer. Equation of perpendicular line: Equation of parallel line:

Consider the line y=-4/3x-8. Find the equation of the line that is parallel to this line and passes through the point (8, 6). Find the equation of the line that is perpendicular to this line and passes through the point (8, 6). Note that the ALEKS graphing calculator may be helpful in checking your answer, Equation of parallel line: Equation of perpendicular line:

Consider the line y=-8x+7. Find the equation of the line that is parallel to this line and passes through the point (-6, -2). Find the equation of the line that is perpendicular to this line and passes through the point (-6, -2). Note that the ALEKS graphing calculator may be helpful in checking your answer.

Solve the system of equations by graphing. Check your solution. y = -3x+2 3y + 9x =6

Consider the line y=-7x+6. Find the equation of the line that is parallel to this line and passes through the point (2, 4). Find the equation of the line that is perpendicular to this line and passes through the point (2, 4). Note that the ALEKS graphing calculator may be helpful in checking your answer. Equation of parallel line: Equation of perpendicular line:

Consider the line -7x+2y=2. Find the equation of the line that is parallel to this line and passes through the point (-6, 1). Find the equation of the line that is perpendicular to this line and passes through the point (-6, 1). Note that the ALEKS graphing calculator may be helpful in checking your answer. Equation of parallel line: Equation of perpendicular line:

Consider the line - 8x-2y=3. Find the equation of the line that is parallel to this line and passes through the point (3, -6). Find the equation of the line that is perpendicular to this line and passes through the point (3, -6). Note that the ALEKS graphing calculator may be helpful in checking your answer.

A tennis club offers two payment options. Members can pay a monthly fee of $9 plus $6 per hour for court rental time. The second option has no monthly fee, but court time costs $7.50 per hour. Answer parts a through d. a. Write a linear function that models the total monthly costs for each option for x hours of court rental time. The linear function that models total monthly cost for the first payment option is f(x) = (Type an expression using x as the variable. Use integers or decimals for any numbers in the expression.)

Find the slope of a line parallel to the line that passes through the points (4,8) and (22,4). The slope of the parallel line is (Type an integer or a simplified fraction.)

Find the slope of the line that goes through the given points. (-10, 1) and (-8, -1) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The slope is B. The slope is undefined.

Write the equation of the line with the given slope and the given y-intercept. Leave the answer in slope-intercept form. Slope 4/3, y-intercept (0, -3) What is the equation of the line?

Find the equation of the line passing through the given pair of points. Write the equation in slope-intercept form. (-4,-5), (3,4) What is the slope-intercept form of the equation that passes through (-4,-5) and (3,4)? (Simplify your answer. Type your answer in slope-intercept form.)

Find the x-intercept and the y-intercept. Then graph the equation. 5x+6y= -15 Find the x-intercept. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

Write the given equation in slope-intercept form. Then identify the slope and the y-intercept for the line. 5x-4y=-20 What is the slope-intercept form of the equation 5x - 4y = -20? (Simplify your answer. Type your answer in slope-intercept form.) What is the slope of the line? m= (Simplify your answer.) What is the y-intercept of the line? (x,y)= (Simplify your answer. Type an ordered pair.)