Slope
The variable used for slope is...
m
Vertical lines cross the x or y axis?
x axis
State the values of the slope and the y-intercept for the following linear function. Label each with its letter.
y = −x + 5
Slope: ________ y-intercept: ________
Slope: m = -1 y-intercept: b = 5
Given the equation 4x -9 = y, what is the slope?
m = 4
How can we find slope on a grid?
rise/run
What is the equations of the line with a slope of -6 passes through the point (3, -14)?
y = −6x + 4
Horizontal lines cross the x or y axis?
y axis
State the values of the slope and the y-intercept for the following linear function. Label each with its letter.
3y + 2x = −12
Slope: ________ y-intercept: ________
Slope: ________ y-intercept: ________
Given the equation y = -6/3 x + 9, what is the slope?
m = -6/3
What is the slope-intercept form for equations of a line?
y=mx+b
Which equations have the same slope as y = 7x − 3 ? Mark all that apply.
(1) y = 10 + 7x (3) 14x + 2y = 12
(2) y = −3x − 3 (4) y − 7x = 15
(1) y = 10 + 7x
Which type of line has a slope of zero?
Horizontal
Write the equation of the line, in y = mx + b form, that passes through the points (−2, −15) and (5, 13). Show how you arrived at the values of m and b.
y=
Transform the equation -2x+2y=20 to y=mx+b
y=x+10
To write the equation of a line you need...
m and b
Fill in the slope and y intercept of the line whose equation is 3x+6y=30 ?
Slope: _________
Y-intercept: __________
Slope: 1/2
Y-intercept: 5
Which type of line has an undefined slope?
vertical
A pool is being filled up. After 5 minutes of filling up the pool there is 100 gallons, after 12 minutes there is 800 gallons. What is the average rate of change from x=5 to x=12
m
What is the equation of a line that passes through the points (0, 8) and (6, 6)?
y=
m = y2-y1/x2-x1
The slope of the line that passes through the points (-1,10) and (5,2) is?
-4/3
Which of the following equations describes all points on a horizontal line that passes through the point
(-4, 10)?
y = 10
A cell phone plan charges a flat monthly fee of $15.25 and an additional $0.07 per hour spent talking on the phone. Which of the following functions gives the cost, c, of the cell phone plan as a function of the number of hours, h, spent talking?
(1) c = .07(h + 15.25) (3) c = .07h + 15.25
(2) c = 15.25h + 0.7. (4) 15.25(h+0.7)
(3) c = .07h + 15.25
As a large truck fills its gas tank, the volume of gas, in gallons, can be modeled with the linear function V=4.8m+8.2 , where v is the volume of gas and m is the number of minutes it has been filling. Give a physical interpretation for both the 4.8 and 8.2 parameters in the linear model. Use appropriate units in your explanation and complete sentences.
4.8
Which of the following is not a way to calculate slope?
(1) rise/run (2) (y2-y1)/(x2-x1)
(3) y=mx+b (4) change in y/change in x
(3) y=mx+b