Slope Intercepts
Graphs and Interceps
Points and Tables
Model the Situation
Solve and Connect
100
In y = mx + b, what does m represent?
What is slope?
100
For y = x + 3, what is the y-intercept?
What is (0,3)?
100
Does (-3, 5) lie on y = -3x - 4?
Yes. -3(-3) - 4 = 9 - 4 = 5
100
Three binders cost x dollars each and a backpack costs $16. Write y, the total cost.
y = 3x + 16
100
In 40x + 20y = 160, if x = 2, solve for y.
40(2)+20y=160 → 80+20y=160 → y=4.
200
Identify the slope and y-intercept of y = -3x + 4.
What is slope of -3 and y-intercept of 4
200
Find the x-intercept of 3x - 2y = 12.
The x-intercept is (4, 0).
200
Does (2, -9) lie on y = -3x - 4?
No. -3(2) - 4 = -10, not -9.
200
A group buys x one-liter bottles and y three-liter bottles for 240 liters total. Write an equation.
x + 3y = 240
200
What value do you set y equal to when finding an x-intercept?
y = 0
300
Write the equation of a line with slope 4 and y-intercept 6.
y = 4x + 6
300
Rewrite 2x - 5y = 10 in slope-intercept form.
What is y = (2/5)x - 2
300
What is the rate of change? 
What is 10/3?
300
T = 0.63s + 78 models oven temperature. What does 78 mean?
The initial temperature is 78 degrees.
300
What value do you set x equal to when finding a y-intercept?
x = 0
400
A line has slope -5 and x-intercept 7. Write its equation in slope-intercept form.
y = -5x + 35
400
A graph has slope -3 and y-intercept 4. Give two points that must lie on the line.
Possible answer: (0, 4) and (1, 1).
400
Write an equation to represent this situation? 
y = (10/3)x - 8
400
T = 0.63s + 78 models oven temperature. What does 0.63 mean?
The temperature increases 0.63 degree per second.
400
A line has equation y = -3x + 4. Find y when x = -2.
y = -3(-2)+4 = 10.
500
A line crosses the y-axis at 8 and passes through (3, -1). Write its equation.
y = -3x + 8
500
Explain how you can identify the correct graph of 2x - 5y = 10 without graphing every point.
Rewrite as y = (2/5)x - 2; look for a positive slope of 2/5 and y-intercept -2 (also x-intercept 5).
500
A line passes through (0,6) and (2,14). Write its equation.
Slope = (14-6)/(2-0) = 4; y = 4x + 6.
500
A gym charges a $25 registration fee plus $18 per month. Write an equation for total cost C after m months and identify the slope and intercept.
C = 18m + 25; slope = 18 dollars/month; y-intercept = 25 dollars.
500
A line has x-intercept 5 and y-intercept -2. Write its equation.
Slope = (0-(-2))/(5-0)=2/5, so y = (2/5)x - 2.