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8th Grade Slope and Linear Equations Worksheet — Level 2 — Answers

Answer sheet with worked solutions for the 8th Grade linear relationships & graphs worksheet.

Success TutoringWorksheetsAnswer sheet8th Grade · Mathematics · Linear Relationships & Graphs

8th Grade Slope and Linear Equations Worksheet — Level 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 + 4, write the slope and the y-intercept.

Answer: slope −3; 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.A line has a slope of 3 and passes through (0, 9). Find its equation.

Answer: y = 3x + 9

  1. y = 3x + (y-intercept)
  2. 9 = 3 × 0 + (y-intercept)
  3. y-intercept = 9 − 0 = 9
  4. y = 3x + 9
3.A line has a slope of 1 and passes through (4, 6). Find its equation.

Answer: y = x + 2

  1. y = 1x + (y-intercept)
  2. 6 = 1 × 4 + (y-intercept)
  3. y-intercept = 6 − 4 = 2
  4. y = x + 2
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.A line has a slope of −1 and passes through (3, 3). Find its equation.

Answer: y = −x + 6

  1. y = −1x + (y-intercept)
  2. 3 = −1 × 3 + (y-intercept)
  3. y-intercept = 3 − (−3) = 6
  4. y = −x + 6
6.Find the slope of the line through (2, −2) and (−3, −5).

Answer:

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

Answer: slope 2; 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.

8.A line has a slope of −4 and passes through (−3, 12). Find its equation.

Answer: y = −4x

  1. y = −4x + (y-intercept)
  2. 12 = −4 × (−3) + (y-intercept)
  3. y-intercept = 12 − 12 = 0
  4. y = −4x
9.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.

10.Find the slope of the line through (−2, −3) and (−5, 6).

Answer: −3

  1. slope = rise ÷ run = (6 − (−3)) ÷ (−5 − (−2))
  2. = 9 ÷ −3 = −3
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