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

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

1.For the line y = 5x − 8, write the slope and the y-intercept.

Answer: slope 5; 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.

2.For the line y = −3x − 8, write the slope and the y-intercept.

Answer: slope −3; 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.

3.A line has a slope of 5 and passes through (−4, −13). Find its equation.

Answer: y = 5x + 7

  1. y = 5x + (y-intercept)
  2. −13 = 5 × (−4) + (y-intercept)
  3. y-intercept = −13 − (−20) = 7
  4. y = 5x + 7
4.Does the point (0, −4) lie on the line y = −x − 6?
  1. AYes
  2. BNo

Answer: No

Substitute x = 0: y = −1 × 0 − 6 = −6, not −4.

5.A line has a slope of −1 and passes through (−2, 11). Find its equation.

Answer: y = −x + 9

  1. y = −1x + (y-intercept)
  2. 11 = −1 × (−2) + (y-intercept)
  3. y-intercept = 11 − 2 = 9
  4. y = −x + 9
6.For the line y = −5x − 3, write the slope and the y-intercept.

Answer: slope −5; y-intercept −3

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

7.A line has a slope of −5 and passes through (−2, 19). Find its equation.

Answer: y = −5x + 9

  1. y = −5x + (y-intercept)
  2. 19 = −5 × (−2) + (y-intercept)
  3. y-intercept = 19 − 10 = 9
  4. y = −5x + 9
8.For the line y = 6x − 8, write the slope and the y-intercept.

Answer: slope 6; 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.

9.A line has a slope of −5 and passes through (−2, 12). Find its equation.

Answer: y = −5x + 2

  1. y = −5x + (y-intercept)
  2. 12 = −5 × (−2) + (y-intercept)
  3. y-intercept = 12 − 10 = 2
  4. y = −5x + 2
10.For the line y = −x + 6, write the slope and the y-intercept.

Answer: slope −1; y-intercept 6

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

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