Slope
Understanding Linear Functions
Writing Linear Function Equations
More Linear functions equations
Systems of Equations
100
What is the slope of a horizontal line?
m = 0
100
What is the general equation for a line in
slope-intercept form?
y = mx + b
100
What is the equation in slope-intercept form for the line in the graph?
y = 1/3x - 4
100
Write an equation for the line in the graph in slope-intercept form.
y = -1/2x + 10
100
How many solutions would this system have?
y=3x+4
y=5+3x
No Solution
200
What is the slope of a vertical line?
m = undefined
200
What is the slope of the linear equation below?
y = -5x + 3
m = -5
200
What is the equation in slope-intercept form for the line in the graph?
y = -1/2x + 3
200
Write a function rule for finding the daily pay, p, in the following situation. A bus driver gets paid $100 each day plus $0.20 per mile, m.
p = 0.20m + 100
200
How many solutions would this system have?
y=-2x+7
y=7-2x
infinite solutions
300
What is the slope of the line?
m = -2
300
What is the y-intercept of the linear equation below?
y = 1/2x + 4
b = 4
300
To join the club at sunset, you must first pay a $750 fee and then you are charged $80 every month until you cancel your membership. Write a equations to represent the cost of the membership.
y = 80x + 750
300
Write an equation in slope-intercept form for the linear data in the table.
y = 2x
300
How many solutions would this system have?
y=-5x+4
y=-4+5x
One Solution
400
What is the slope of a line that contains the points
(2, 1) and (4, -2) ?
m = -3/2
400
Describe and correct the error.
The slope is 3, and the y-intercept is -6.
400
To join the club at sunset, you must first pay a $750 fee and then you are charged $80 every month until you cancel your membership. Write a equations to represent the cost of the membership.
The equation to represent this is y = 80x + 750. What is the meaning of the rate of change for the equation?
You are charged $80 per month
400
A linear equation has a slope of 2/3 and goes through the point (9, 16) what is the equation of the line?
y = 2/3x + 10
400
What is the solution to the system of equations in the graph?
(3, -1)
500
Find the slope of a line containing the points (-2, -1) and (2, -3). Make sure to simplify!
m = -1/2
500
The graph shows the distance y (in miles) that a bus travels in x hours. Find and interpret the slope.
m = 60
The slope is the speed of the bus: 60 miles per hour.
500
In 2020 the price of eggs were $3 a dozen, In 2024, the price of eggs is now $7 a dozen. Assuming the price increased the same amount each year, write an equation to represent the change in cost from 2020 to 2024.
y = x + 3
500
A linear equation goes through the points (4, 3) and (-2, 6)
y = -1/2x + 5
500
What is the solution to this system?
y=3x+4
y=5x+10
(-3, -5)