Practice 3.4 – 3.5
1. Write the definition of a y-intercept.
State the slope and y-intercept for the graph of each equation.
2. 𝑦 =
−2
3
𝑥+9
3. −2𝑥 + 𝑦 = −6
Write an equation of a line in slope-intercept form with the given slope and
y-intercept.
4. Slope =
−7
9
y – intercept = 8
5.
Slope = 8 y – intercept =
Write an equation in slope-intercept form for each graph shown.
6.
7.
8. Which equation has the same y-intercept as y = 4x – 3?
a. y – 3 = x
b. y = 8x + 3
c. 3 – y = 4x
d. y = –3 + 8x
−4
5
9. Which of the following is the equation of the line that has the same slope
3
as y   x  2 and the same y-intercept as y = 3x – 2?
2
3
a. y  2   x
2
c. y  2  
3
b.  x  y  2
2
3
2
3
d.  x  y  3
2
Graph each equation.
10. 𝑦 =
−2
3
𝑥−4
11. −2𝑥 + 𝑦 = 4
12. Mary wrote the equation 𝑦 = 0.1𝑥 + 5 to find the total cost of his phone
bill, y, based on the number of texts he sends per month, x. Circle the
number that shows the slope and the y-intercept of the equation of the
line.
1
10
1
10
𝑚=
1
5
5
𝑏=
1
5
5
1
13. Ethan graphed the line shown. Brandon graphed the line 𝑦 = 𝑥 + 1.
3
Brandon says both lines have the same y-intercept. Do you agree? Why or
why not?
Graph each equation using the x- and y-intercepts.
14. 3x  4 y  36
x-int.
15. 7 x  4 y  28
y-int.
x-int.
y-int.
16. 𝑦 =
x-int.
−4
5
𝑥+8
y-int.
17. Tyrell plays running back and kicks field goals for his team. He scores 6 points
for a touchdown and 3 points for a field goal. In his last game, he scored 24
points. This can be represented by the function 6x + 3y = 24. Find the x- and yintercepts. Graph the equation using the x- and y- intercepts. Interpret the x- and
y-intercepts.
y-int.
Field Goals
x-int.
Touchdowns