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10th Grade Slope and Linear Equations Worksheet — Level 2 — 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 2 — 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 = 6x + 4, write the slope and the y-intercept.

Answer: slope 6; 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.

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

Answer: slope −6; 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.A line has a slope of 1 and passes through (1, −2). Find its equation.

Answer: y = x − 3

  1. y = 1x + (y-intercept)
  2. −2 = 1 × 1 + (y-intercept)
  3. y-intercept = −2 − 1 = −3
  4. y = x − 3
4.For the line y = −4x + 8, write the slope and the y-intercept.

Answer: slope −4; 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.

5.Find the slope of the line through (4, 6) and (0, 13).

Answer: −

  1. slope = rise ÷ run = (13 − 6) ÷ (0 − 4)
  2. = 7 ÷ −4 = −
6.For the line y = 2x − 4, write the slope and the y-intercept.

Answer: slope 2; 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.

7.A line has a slope of −4 and passes through (3, −7). Find its equation.

Answer: y = −4x + 5

  1. y = −4x + (y-intercept)
  2. −7 = −4 × 3 + (y-intercept)
  3. y-intercept = −7 − (−12) = 5
  4. y = −4x + 5
8.Find the slope of the line through (4, −2) and (5, 2).

Answer: 4

  1. slope = rise ÷ run = (2 − (−2)) ÷ (5 − 4)
  2. = 4 ÷ 1 = 4
9.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.

10.Find the slope of the line through (4, 1) and (8, 2).

Answer:

  1. slope = rise ÷ run = (2 − 1) ÷ (8 − 4)
  2. = 1 ÷ 4 =
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