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10th Grade Slope and Linear Equations Worksheet — Level 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 2 — 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, 3) and (2, −1).

Answer:

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

Answer: y = −x + 4

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

Answer: slope 3; y-intercept −5

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 = 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.

5.Find the slope of the line through (−6, 3) and (−7, −5).

Answer: 8

  1. slope = rise ÷ run = (−5 − 3) ÷ (−7 − (−6))
  2. = −8 ÷ −1 = 8
6.A line has a slope of 1 and passes through (−3, −9). Find its equation.

Answer: y = x − 6

  1. y = 1x + (y-intercept)
  2. −9 = 1 × (−3) + (y-intercept)
  3. y-intercept = −9 − (−3) = −6
  4. y = x − 6
7.A line has a slope of 4 and passes through (2, 11). Find its equation.

Answer: y = 4x + 3

  1. y = 4x + (y-intercept)
  2. 11 = 4 × 2 + (y-intercept)
  3. y-intercept = 11 − 8 = 3
  4. y = 4x + 3
8.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.

9.For the line y = 3x + 2, write the slope and the y-intercept.

Answer: slope 3; 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.

10.A line has a slope of −1 and passes through (3, −5). Find its equation.

Answer: y = −x − 2

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