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9th Grade Slope and Linear Equations Worksheet — Level 1 — Practice Set 3 — Answers

Answer sheet with worked solutions for the 9th Grade linear relationships & graphs worksheet.

Success TutoringWorksheetsAnswer sheet9th Grade · Mathematics · Linear Relationships & Graphs

9th Grade Slope and Linear Equations Worksheet — Level 1 — 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 = −3x − 7, write the slope and the y-intercept.

Answer: slope −3; 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.

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

Answer: −2

  1. slope = rise ÷ run = (2 − 0) ÷ (−2 − (−1))
  2. = 2 ÷ −1 = −2
3.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.

4.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.

5.Find the slope of the line through (6, 2) and (8, −2).

Answer: −2

  1. slope = rise ÷ run = (−2 − 2) ÷ (8 − 6)
  2. = −4 ÷ 2 = −2
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.Find the slope of the line through (−4, 3) and (−9, 18).

Answer: −3

  1. slope = rise ÷ run = (18 − 3) ÷ (−9 − (−4))
  2. = 15 ÷ −5 = −3
8.For the line y = −4x + 6, write the slope and the y-intercept.

Answer: slope −4; 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 = −3x + 3, write the slope and the y-intercept.

Answer: slope −3; 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.

10.Find the slope of the line through (−4, 4) and (−7, 1).

Answer: 1

  1. slope = rise ÷ run = (1 − 4) ÷ (−7 − (−4))
  2. = −3 ÷ −3 = 1
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