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10th Grade Slope and Linear Equations Worksheet — Level 1 — Practice Set 2 — Answers

Answer sheet with worked solutions for the 10th Grade linear relationships & graphs worksheet.

Success TutoringWorksheetsAnswer sheet10th Grade · Mathematics · Linear Relationships & Graphs

10th Grade Slope and Linear Equations Worksheet — Level 1 — Practice Set 2 — 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 + 6, write the slope and the y-intercept.

Answer: slope 3; 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.

2.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.

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

Answer: slope −4; 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.

4.For the line y = 3x − 6, write the slope and the y-intercept.

Answer: slope 3; 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.

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

Answer: slope 2; 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.

6.For the line y = −2x − 9, write the slope and the y-intercept.

Answer: slope −2; 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.

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

Answer: −3

  1. slope = rise ÷ run = (6 − (−3)) ÷ (3 − 6)
  2. = 9 ÷ −3 = −3
8.Find the slope of the line through (−4, 5) and (−6, 11).

Answer: −3

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

Answer: slope 5; 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.

10.Find the slope of the line through (−2, 1) and (−3, 2).

Answer: −1

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