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Algebra 1
X and Y-Intercepts Practice
Name: ________________________
Find the x- and y-intercepts of the graph of each equation. Show work as modeled in class.
An example has been done for you. Then convert the standard form of the equation to
slope-intercept form. Again show all work.
Example: 3x + 2y = 12
1. x – 2y = 2
4. 6x + 3y = -30
7. 5x – 4y = -12
10. 4x – 6y = 9
x-intercept: (??, 0)
3x + 2y = 12
3x + 2(0) = 12
3x + 0 = 12
3x = 12
x =4
(4, 0)
y-intercept: (0, ??)
3x + 2y = 12
3(0) + 2y = 12
0 + 2y = 12
2y = 12
y =6
(0, 6)
2. 8x – 6y = 24
5. 3x – 5y = -20
8. -2x + 7y = 11
11. -7x + 4y = -14
Algebra 1
X and Y-Intercepts Practice
3x + 2y = 12
-3x
-3x
2y = -3x + 12
2
2 2
!𝟑
𝒚 = 𝟐 𝒙 + 𝟔
3. 8x + 2y = -32
6. -2x + y = 8
9. -3x – 4y = 0
12. 12x – 18y = 6
Name: ________________________
Find the x- and y-intercepts of the graph of each equation. Show work as modeled in class.
An example has been done for you. Then convert the standard form of the equation to
slope-intercept form. Again show all work.
Example: 3x + 2y = 12
1. x – 2y = 2
4. 6x + 3y = -30
7. 5x – 4y = -12
10. 4x – 6y = 9
x-intercept: (??, 0)
3x + 2y = 12
3x + 2(0) = 12
3x + 0 = 12
3x = 12
x =4
(4, 0)
y-intercept: (0, ??)
3x + 2y = 12
3(0) + 2y = 12
0 + 2y = 12
2y = 12
y =6
(0, 6)
2. 8x – 6y = 24
5. 3x – 5y = -20
8. -2x + 7y = 11
11. -7x + 4y = -14
3x + 2y = 12
-3x
-3x
2y = -3x + 12
2
2 2
!𝟑
𝒚 = 𝟐 𝒙 + 𝟔
3. 8x + 2y = -32
6. -2x + y = 8
9. -3x – 4y = 0
12. 12x – 18y = 6
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