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8th Grade Slope and Linear Equations Worksheet — Level 1 — 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 1 — 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 = 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.

2.Find the slope of the line through (0, −2) and (−1, 1).

Answer: −3

  1. slope = rise ÷ run = (1 − (−2)) ÷ (−1 − 0)
  2. = 3 ÷ −1 = −3
3.Find the slope of the line through (−1, 0) and (−5, 4).

Answer: −1

  1. slope = rise ÷ run = (4 − 0) ÷ (−5 − (−1))
  2. = 4 ÷ −4 = −1
4.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.

5.Find the slope of the line through (0, 3) and (3, −6).

Answer: −3

  1. slope = rise ÷ run = (−6 − 3) ÷ (3 − 0)
  2. = −9 ÷ 3 = −3
6.For the line y = 3x, write the slope and the y-intercept.

Answer: slope 3; y-intercept 0

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 = 2x + 5, write the slope and the y-intercept.

Answer: slope 2; y-intercept 5

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 = −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.

9.Find the slope of the line through (−4, −4) and (−8, −16).

Answer: 3

  1. slope = rise ÷ run = (−16 − (−4)) ÷ (−8 − (−4))
  2. = −12 ÷ −4 = 3
10.For the line y = 5x + 7, write the slope and the y-intercept.

Answer: slope 5; 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.

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