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10th Grade Slope and Linear Equations Worksheet — Level 2 — Practice Set 3 — 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 2 — 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.Find the slope of the line through (−5, −1) and (−10, 0).

Answer: −

  1. slope = rise ÷ run = (0 − (−1)) ÷ (−10 − (−5))
  2. = 1 ÷ −5 = −
2.Find the slope of the line through (−6, 5) and (−10, −1).

Answer:

  1. slope = rise ÷ run = (−1 − 5) ÷ (−10 − (−6))
  2. = −6 ÷ −4 =
3.A line has a slope of −5 and passes through (−2, 18). Find its equation.

Answer: y = −5x + 8

  1. y = −5x + (y-intercept)
  2. 18 = −5 × (−2) + (y-intercept)
  3. y-intercept = 18 − 10 = 8
  4. y = −5x + 8
4.A line has a slope of −5 and passes through (−3, 21). Find its equation.

Answer: y = −5x + 6

  1. y = −5x + (y-intercept)
  2. 21 = −5 × (−3) + (y-intercept)
  3. y-intercept = 21 − 15 = 6
  4. y = −5x + 6
5.For the line y = 4x − 7, write the slope and the y-intercept.

Answer: slope 4; 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.

6.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
7.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.

8.Find the slope of the line through (−6, −5) and (−10, −2).

Answer: −

  1. slope = rise ÷ run = (−2 − (−5)) ÷ (−10 − (−6))
  2. = 3 ÷ −4 = −
9.For the line y = 5x + 8, write the slope and the y-intercept.

Answer: slope 5; 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.

10.A line has a slope of 5 and passes through (3, 17). Find its equation.

Answer: y = 5x + 2

  1. y = 5x + (y-intercept)
  2. 17 = 5 × 3 + (y-intercept)
  3. y-intercept = 17 − 15 = 2
  4. y = 5x + 2
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