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8th Grade Slope and Linear Equations Worksheet — Level 3 — Answers

Answer sheet with worked solutions for the 8th Grade linear relationships & graphs worksheet.

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Success TutoringWorksheetsAnswer sheet8th Grade · Mathematics · Linear Relationships & Graphs

8th Grade Slope and Linear Equations Worksheet — Level 3 — Answers

Show your work. Slope = rise ÷ run; the equation of a line can be written as y = (slope)x + (y-intercept).

1.Does the point (5, 17) lie on the line y = 5x − 8?
  1. AYes
  2. BNo

Answer: Yes

Substitute x = 5: y = 5 × 5 − 8 = 17, which matches.

2.Does the point (−5, −19) lie on the line y = 4x + 1?
  1. AYes
  2. BNo

Answer: Yes

Substitute x = −5: y = 4 × (−5) + 1 = −19, which matches.

3.A line has a slope of 1 and passes through (−3, 3). Find its equation.

Answer: y = x + 6

  1. y = 1x + (y-intercept)
  2. 3 = 1 × (−3) + (y-intercept)
  3. y-intercept = 3 − (−3) = 6
  4. y = x + 6
4.For the line y = −4x − 8, write the slope and the y-intercept.

Answer: slope −4; y-intercept −8

In y = (slope)x + (y-intercept), the number multiplying x is the slope and the constant is where the line crosses the y-axis.

5.For the line y = 6x + 1, write the slope and the y-intercept.

Answer: slope 6; y-intercept 1

In y = (slope)x + (y-intercept), the number multiplying x is the slope and the constant is where the line crosses the y-axis.

6.A line has a slope of 2 and passes through (0, 8). Find its equation.

Answer: y = 2x + 8

  1. y = 2x + (y-intercept)
  2. 8 = 2 × 0 + (y-intercept)
  3. y-intercept = 8 − 0 = 8
  4. y = 2x + 8
7.Does the point (0, −1) lie on the line y = −2x − 1?
  1. AYes
  2. BNo

Answer: Yes

Substitute x = 0: y = −2 × 0 − 1 = −1, which matches.

8.A line has a slope of −5 and passes through (−1, 6). Find its equation.

Answer: y = −5x + 1

  1. y = −5x + (y-intercept)
  2. 6 = −5 × (−1) + (y-intercept)
  3. y-intercept = 6 − 5 = 1
  4. y = −5x + 1
9.For the line y = x − 9, write the slope and the y-intercept.

Answer: slope 1; y-intercept −9

In y = (slope)x + (y-intercept), the number multiplying x is the slope and the constant is where the line crosses the y-axis.

10.Does the point (4, 1) lie on the line y = −2x + 9?
  1. AYes
  2. BNo

Answer: Yes

Substitute x = 4: y = −2 × 4 + 9 = 1, which matches.

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