Straight lines Questions and Answers
Math
Straight linesThe monthly cost (in dollars) of water use is a linear function of the amount of water used (in hundreds of cubic feet, HCF). The cost for using 15 HOF of water is $39.57, and the cost for using 33 HOF is $71.07. What is the cost for using 19 HOF of water?
Math
Straight linesWhat is the image of P(3, 4) reflected across the line x = -1? A. (-5,4) B. (-3, 4) C. (3, -4) D. (5, -4)
Math
Straight linesThe equation of line R is 6x + 5y = 3, and the equation of line S is 5x - 6y=0. Which statement about the two line are true?
Lines R and S are parallel.
Lines R and S are perpendicular.
Lines R and S have the same x - intercept.
None of the above.
Math
Straight linesWrite the equation in the form y=mx+b. Then, using your calculator, graph the line in the window [-10,10] by [-10,10].
2x + 5y = 10
Write 2x + 5y = 10 in the form y = mx + b.
y=
Math
Straight linesThe coordinates of the vertices of AFGH are F(2,-1), G(-2,-2), and H(-4,3). Graph AFGH and its reflection over the line y = x - 3.
Math
Straight linesFind the equation of the line that contains the point (-2,-1) and has a slope that is undefined. Express the equation using either the general form or the slope-intercept form of the equation of a line. The equation of the line is (Type an equation.)
Math
Straight lines(a) Write the equation in slope-intercept form, and determine the slope and y-intercept.
(b) Graph the equation using the slope and y-intercept.
-4x=-2y+8
The slope is
The y-intercept is (0.
The equation written in slope-intercept form is
Math
Straight linesFind the y-intercept and the slope of the line.
-2x-y=3
Write your answers in simplest form.
Math
Straight linesFind an equation for the line with the given properties. Express your answer using either the general form or the slope-intercept form of the equation of a line.
Perpendicular to the line x-4y= -3; containing the point (0,4)
Math
Straight linesWhat is the slope of a line that goes through the points (6.-9) & (14,12). Reduce if possible.
8/21
8/3
21/8
7/4
Math
Straight linesWhich equation in point-slope form is written correctly for a line that is parallel to y=4x+3 and goes through the point (-4,8)?
y-8=4(x+4)
y+8=4(x+4)
y+8=4(x-4)
y-8=4x(x+4)
Math
Straight linesIf you drive 170 miles and have 14 gallons of gas remaining in your tank. Then you continue driving, and calculate that after driving 230 miles you have 11 gallons left.
Math
Straight linesThe key features of linear functions include:
To find the
To find the
This the average
of a line, set y equal to
of a line, set x equal to
Slope-Intercept Form of a Line:
Standard form of a line:
of the line,
and solve.
and solve.
If you need to find the equation of a line, the following equations may be useful:
Slope of a Line =
Math
Straight linesRewrite the equation 6x-2y-2=0 in slope-intercept form.
Give the slope and y-intercept.
Use the slope and y-intercept to graph the linear function.
Math
Straight linesFind the equation of the line that contains the point (-1,7) and has a slope that is undefined. Express the equation using either the general form or the slope-intercept form of the equation of a line.
Math
Straight linesTangents are drawn to a unit circle centre at origin from every point on the line 2x + y = 4, then
(i) Prove that chord of contact passes through a fixed point.
(ii) Find equation to the locus of the middle point of chord of contact.
Math
Straight linesThe manufacturer of an energy drink spends $1.20 to make each drink and sells them for $2. The manufacturer also has fixed costs each month of $8,000.
a. Find the cost function C when "x" energy drinks are manufactured. C(x) =
Write your answer in slope-intercept form.
b. Find the revenue function R when "x" drinks are sold. R(x) =
Write your answer in slope-intercept form.
c. Graph both your Revenue and Cost functions on the graph below that shows the break-even point.
Math
Straight linesFind the equation of a line that is perpendicular to the line x = 1 and contains the point (6,2). The equation of the perpendicular line is (Type an equation.)
Math
Straight linesSelect the answer that best completes the given statement.
The slope, m, of a line through the distinct points (x1.y1) and (x2.y2) is given by the formula m =
Math
Straight linesa. Rewrite the equation 3x +y -4 = 0 in slope-intercept form.
b. Give the slope and y-intercept.
c. Use the slope and y-intercept to graph the linear function.
a. The slope-intercept form of the equation is.
.....
Math
Straight linesa. Rewrite the equation 4x - 2y – 6=0 in slope-intercept form.
b. Give the slope and y-intercept.
c. Use the slope and y-intercept to graph the linear function.
Math
Straight linesDetermine the x- and y-intercepts for the given function. Write your answer as an ordered pair.
h(x)=6x-36
If there is more than one answer, separate your answers with commas. Select "None" if appropriate.
Part 1 of 2
x-intercept(s):
Part 2 of 2
y-intercept(s):
(0,0) 0.0.... None
X
Ś
(0,0) DO.... None
X
S
Math
Straight linesFill in the blank below so that the resulting statement is true.
If a line rises from left to right, the line has slope.
If a line rises from left to right, the line has slope.
Math
Straight linesRewrite each equation in slope-intercept form, if necessary. Then determine whether the lines are parallel, perpendicular or neither.
y-3x+7
Possible answers
No Answers Chosen
3y-9x-12 ⠀ Parallel
The slopes are: 1/2 and -1/2
-3x+6y=18
Neither parallel or perpendicular
-3x-6y + 14
No Answers Chosen
The Slopes are 3
Math
Straight linesPRACTICE ANOTHER
Calculate the exact slope m (rather than a decimal approximation) of the straight line through the given pair of points, if defined. Try to do the problem without writing anything down except the
answer. (If an answer is undefined, enter UNDEFINED.)
(0, 1) and (-)
M=
Math
Straight linesCalculate the exact slope m (rather than a decimal approximation) of the straight line through the given pair of points, if defined. Try to do the problem without writing anything down except the
answer. (If an answer is undefined, enter UNDEFINED.)
(0, 0) and (1,7)
Math
Straight linesWrite the equation of a line that is parallel to y = 0.6x + 3 and that passes through the point (-3,-5).
Math
Straight linesThe graph shows the relationship between the number
of minutes Maria spent jogging on a treadmill and the
distance she jogged.
What was her speed?
0.1 mile per minute
0.5 mile per minute
5 miles per minute
10 miles per minute
Math
Straight lines7 More practice. Start with 5p+10x = 15.
(a) What are the p-intercepts?
(b) What are the x-intercepts?
(c) Solve for p in terms of z. If you were to graph this with r on the horizontal axis,
what would be the slope?
(d) Solve for z in terms of p. If you were to graph this with p on the horizontal axis,
what would be the slope?
Math
Straight linesFind an equation of a line that is tangent to the graph of f and parallel to the given line.
Line
Function
f(x) = x³
12x - y + 9 = 0
y
II
y =
(smaller y-intercept)
(larger y-intercept)
Math
Straight lines‒‒‒‒‒‒‒
Find the slope and y-intercept (if possible) of the line. (If an answer is undefined, enter UNDEFINED.)
5x - 9y = 27
Math
Straight linesThe chart shows the cost of tuition at a certain state university. Model the data in the chart with a linear function, using the
points (1,10073) and (3,11344). Predict the cost of college tuition in 2003-2004.
Math
Straight linesThe daily demand for ice cream cones at a price of $1.20 per cone is 50 cones. At a
price of $2.20 per cone, the demand is 30 cones. Use linear interpolation to estimate
the demand at a price of $1.50 per cone.
Math
Straight linesThe slope and a point on a line are given. Use this information to locate three additional points on the line.
Slope 4; point (-6,1)
Determine three points on the line with slope -4 and passing through (-6,1).
A. (-2,0), (-10,2), (-14,3)
B. (5,-7), (-3,-5), (-7,-4)
C. (0,-2), (2,- 10), (3, -14)
D. (-7,5), (-5,-3), (-4,-7)
Math
Straight linesIf the lines 3x² +8xy-3y² = 0 and 3x² +8xy-3y² +2x-4y-1=0 from a quadrilateral ABCD. Then which of the following is/are true?
The quadrilateral is a square
One of the diagonal of the quadrilateral has equation 2x-4y-1=0
One of the vertex of the quadrilateral can be 3/10, -1/10
One of the side of quadrilateral has the equation as 3x-y-1=0
Math
Straight linesa. Rewrite the equation 16x-4y-8=0 in slope-intercept form.
b. Give the slope and y-intercept.
c. Use the slope and y-intercept to graph the linear function.
a. The slope-intercept form of the equation is y=4x-2.
(Simplify your answer. Use integers or fractions for any numbers in the equation.)
b. The slope of the line is 4 and the y-intercept is -2
(Type integers or fractions.)
c. Use the slope and the y-intercept to graph the line.
Math
Straight linesa. Rewrite the equation 8x-4y-4-0 in slope-intercept form.
b. Give the slope and y-intercept.
c. Use the slope and y-intercept to graph the linear function.
a. The slope-intercept form of the equation is
(Simplify your answer. Use integers or fractions for any numbers in the equation.)
b. The slope of the line is and the y-intercept is
(Type integers or fractions.)
c. Use the slope and the y-intercept to graph the line.
Math
Straight linesIf you are given a graph of a linear function, f(x) = mx + b is a way of
symbolizing any linear function.
a. Explain how you can determine m and b in the graph.
b. Explain any effects that positive, negative and fractional values of
m and b have on the graph.
Math
Straight linesFind the coordinates of the missing endpoint if M is the midpoint of AC
A(5, 8) and M(-4,3) Find C(
Math
Straight linesa. Rewrite the given equation 7x+8y-56=0 slope-intercept form.
b. Give the slope and y-intercept.
c. Use the slope and y-intercept to graph the linear function.
a. The slope-intercept form of the equation is y=x+7.
(Simplify your answer. Use integers or fractions for any numbers in the equation.)
b. The slope of the equation of the line is and the y-intercept is
(Type integers or fractions.)
Math
Straight linesSelect the correct choice below and, if necessary, fill in the answer box within your choice.
A. The slope is
(Simplify your answer.)
B. The slope is undefined.
Indicate whether the line through the points rises, falls, is horizontal, or is vertical.
A. The line rises from left to right.
B. The line is horizontal.
C. The line falls from left to right.
D. The line is vertical.
Math
Straight linesUse intercepts to graph the equation.
4x-3y-12=0
Use the graphing tool to graph the line. Use the intercepts when drawing the line. If only one intercept exists, useIt and another point to draw the line.
Math
Straight linesa. Rewrite the equation 9x-3y-3-0 in slope-intercept form.
b. Give the slope and y-intercept.
c. Use the slope and y-intercept to graph the linear function.
a. The slope-intercept form of the equation is
Math
Straight linesDiscuss whether a vertical line ever has a y-intercept.
Choose the correct answer below.
A. No vertical line has a y-intercept.
B. Any vertical line except x = 0 never has a y-intercept.
C. All vertical lines have a y-intercept.
Math
Straight linesGraph the line that passes through the points (-5, 2) and (6, 2) and
determine the equation of the line.