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10th Grade Slope and Linear Equations Worksheet — Level 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 — Answers

Show your work. Slope = rise ÷ run; the equation of a line can be written as y = (slope)x + (y-intercept).

1.Does the point (1, 0) lie on the line y = −2x + 5?
  1. AYes
  2. BNo

Answer: No

Substitute x = 1: y = −2 × 1 + 5 = 3, not 0.

2.Does the point (0, −4) lie on the line y = x − 3?
  1. AYes
  2. BNo

Answer: No

Substitute x = 0: y = 1 × 0 − 3 = −3, not −4.

3.A line has a slope of −4 and passes through (4, −9). Find its equation.

Answer: y = −4x + 7

  1. y = −4x + (y-intercept)
  2. −9 = −4 × 4 + (y-intercept)
  3. y-intercept = −9 − (−16) = 7
  4. y = −4x + 7
4.For the line y = 5x − 5, write the slope and the y-intercept.

Answer: slope 5; 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.

5.A line has a slope of 4 and passes through (−2, −15). Find its equation.

Answer: y = 4x − 7

  1. y = 4x + (y-intercept)
  2. −15 = 4 × (−2) + (y-intercept)
  3. y-intercept = −15 − (−8) = −7
  4. y = 4x − 7
6.Does the point (1, 8) lie on the line y = 2x + 8?
  1. AYes
  2. BNo

Answer: No

Substitute x = 1: y = 2 × 1 + 8 = 10, not 8.

7.Does the point (−5, −3) lie on the line y = 2x + 7?
  1. AYes
  2. BNo

Answer: Yes

Substitute x = −5: y = 2 × (−5) + 7 = −3, which matches.

8.For the line y = 4x − 2, write the slope and the y-intercept.

Answer: slope 4; 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.

9.For the line y = −4x − 6, write the slope and the y-intercept.

Answer: slope −4; 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.

10.For the line y = −2x − 9, write the slope and the y-intercept.

Answer: slope −2; y-intercept −9

In y = (slope)x + (y-intercept), the number multiplying x is the slope and the constant is where the line crosses the y-axis.

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