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10th Grade Slope and Linear Equations Worksheet — Level 3 — Practice Set 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 3 — Practice Set 2 — 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 (−2, 7) lie on the line y = −4x − 1?
  1. AYes
  2. BNo

Answer: Yes

Substitute x = −2: y = −4 × (−2) − 1 = 7, which matches.

2.Does the point (1, −12) lie on the line y = −4x − 8?
  1. AYes
  2. BNo

Answer: Yes

Substitute x = 1: y = −4 × 1 − 8 = −12, which matches.

3.For the line y = −4x − 5, write the slope and the y-intercept.

Answer: slope −4; 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 = x + 3, write the slope and the y-intercept.

Answer: slope 1; 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.

5.A line has a slope of −5 and passes through (0, 3). Find its equation.

Answer: y = −5x + 3

  1. y = −5x + (y-intercept)
  2. 3 = −5 × 0 + (y-intercept)
  3. y-intercept = 3 − 0 = 3
  4. y = −5x + 3
6.For the line y = 4x + 4, write the slope and the y-intercept.

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

Answer: slope −2; 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.

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

Answer: y = −3x + 9

  1. y = −3x + (y-intercept)
  2. −3 = −3 × 4 + (y-intercept)
  3. y-intercept = −3 − (−12) = 9
  4. y = −3x + 9
9.Does the point (−2, 4) lie on the line y = 2x + 8?
  1. AYes
  2. BNo

Answer: Yes

Substitute x = −2: y = 2 × (−2) + 8 = 4, which matches.

10.Does the point (−3, 9) lie on the line y = −x + 4?
  1. AYes
  2. BNo

Answer: No

Substitute x = −3: y = −1 × (−3) + 4 = 7, not 9.

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