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10th Grade Slope and Linear Equations Worksheet — Level 1 — Practice Set 4 — Answers

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

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10th 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.Find the slope of the line through (5, −2) and (7, −8).

Answer: −3

  1. slope = rise ÷ run = (−8 − (−2)) ÷ (7 − 5)
  2. = −6 ÷ 2 = −3
2.Find the slope of the line through (6, −5) and (5, −7).

Answer: 2

  1. slope = rise ÷ run = (−7 − (−5)) ÷ (5 − 6)
  2. = −2 ÷ −1 = 2
3.For the line y = −5x − 4, write the slope and the y-intercept.

Answer: slope −5; y-intercept −4

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 = 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.

5.Find the slope of the line through (−6, 6) and (−7, 8).

Answer: −2

  1. slope = rise ÷ run = (8 − 6) ÷ (−7 − (−6))
  2. = 2 ÷ −1 = −2
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 = −4x + 2, write the slope and the y-intercept.

Answer: slope −4; 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.

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.Find the slope of the line through (−2, −2) and (−7, −17).

Answer: 3

  1. slope = rise ÷ run = (−17 − (−2)) ÷ (−7 − (−2))
  2. = −15 ÷ −5 = 3
10.For the line y = −2x + 8, write the slope and the y-intercept.

Answer: slope −2; 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.

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