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8th Grade Slope and Linear Equations Worksheet — Level 1 — 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 1 — 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.For the line y = −x, write the slope and the y-intercept.

Answer: slope −1; 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.

2.For the line y = −4x + 1, write the slope and the y-intercept.

Answer: slope −4; 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.

3.For the line y = 4x + 5, write the slope and the y-intercept.

Answer: slope 4; 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.

4.Find the slope of the line through (−6, −2) and (−5, −4).

Answer: −2

  1. slope = rise ÷ run = (−4 − (−2)) ÷ (−5 − (−6))
  2. = −2 ÷ 1 = −2
5.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.

6.For the line y = −2x + 1, write the slope and the y-intercept.

Answer: slope −2; 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.Find the slope of the line through (−6, 6) and (−9, 15).

Answer: −3

  1. slope = rise ÷ run = (15 − 6) ÷ (−9 − (−6))
  2. = 9 ÷ −3 = −3
8.For the line y = −5x + 2, write the slope and the y-intercept.

Answer: slope −5; y-intercept 2

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 (−1, −1) and (−6, 4).

Answer: −1

  1. slope = rise ÷ run = (4 − (−1)) ÷ (−6 − (−1))
  2. = 5 ÷ −5 = −1
10.Find the slope of the line through (1, 2) and (5, 14).

Answer: 3

  1. slope = rise ÷ run = (14 − 2) ÷ (5 − 1)
  2. = 12 ÷ 4 = 3
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