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8th Grade Slope and Linear Equations Worksheet — Level 3 — Practice Set 4 — Answers

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

Success TutoringWorksheetsAnswer sheet8th Grade · Mathematics · Linear Relationships & Graphs

8th Grade Slope and Linear Equations Worksheet — Level 3 — Practice Set 4 — 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, −13) lie on the line y = 3x + 1?
  1. AYes
  2. BNo

Answer: No

Substitute x = −5: y = 3 × (−5) + 1 = −14, not −13.

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

Answer: slope 1; 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.Does the point (−5, 18) lie on the line y = −5x − 5?
  1. AYes
  2. BNo

Answer: No

Substitute x = −5: y = −5 × (−5) − 5 = 20, not 18.

4.A line has a slope of −3 and passes through (0, 7). Find its equation.

Answer: y = −3x + 7

  1. y = −3x + (y-intercept)
  2. 7 = −3 × 0 + (y-intercept)
  3. y-intercept = 7 − 0 = 7
  4. y = −3x + 7
5.A line has a slope of 4 and passes through (−1, −11). Find its equation.

Answer: y = 4x − 7

  1. y = 4x + (y-intercept)
  2. −11 = 4 × (−1) + (y-intercept)
  3. y-intercept = −11 − (−4) = −7
  4. y = 4x − 7
6.For the line y = 5x + 1, write the slope and the y-intercept.

Answer: slope 5; 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.

7.For the line y = −3x + 9, write the slope and the y-intercept.

Answer: slope −3; 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.

8.For the line y = −6x + 6, write the slope and the y-intercept.

Answer: slope −6; 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.

9.For the line y = x + 7, write the slope and the y-intercept.

Answer: slope 1; y-intercept 7

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 (−1, 7) lie on the line y = −5x + 2?
  1. AYes
  2. BNo

Answer: Yes

Substitute x = −1: y = −5 × (−1) + 2 = 7, which matches.

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