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10th Grade Slope and Linear Equations Worksheet — Level 3 — Practice Set 3 — 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 3 — 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.A line has a slope of 1 and passes through (2, −4). Find its equation.

Answer: y = x − 6

  1. y = 1x + (y-intercept)
  2. −4 = 1 × 2 + (y-intercept)
  3. y-intercept = −4 − 2 = −6
  4. y = x − 6
2.A line has a slope of 5 and passes through (2, 12). Find its equation.

Answer: y = 5x + 2

  1. y = 5x + (y-intercept)
  2. 12 = 5 × 2 + (y-intercept)
  3. y-intercept = 12 − 10 = 2
  4. y = 5x + 2
3.Does the point (0, −11) lie on the line y = −2x − 9?
  1. AYes
  2. BNo

Answer: No

Substitute x = 0: y = −2 × 0 − 9 = −9, not −11.

4.Does the point (2, 12) lie on the line y = 4x + 1?
  1. AYes
  2. BNo

Answer: No

Substitute x = 2: y = 4 × 2 + 1 = 9, not 12.

5.Does the point (−3, −1) lie on the line y = 2x + 8?
  1. AYes
  2. BNo

Answer: No

Substitute x = −3: y = 2 × (−3) + 8 = 2, not −1.

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

Answer: slope 3; 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.

7.Does the point (−1, 0) lie on the line y = −3x − 3?
  1. AYes
  2. BNo

Answer: Yes

Substitute x = −1: y = −3 × (−1) − 3 = 0, which matches.

8.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.

9.A line has a slope of −1 and passes through (0, −6). Find its equation.

Answer: y = −x − 6

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

Answer: y = −3x + 5

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