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10th Grade Slope and Linear Equations Worksheet — Level 1 — 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 1 — 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 = 5x, write the slope and the y-intercept.

Answer: slope 5; y-intercept 0

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.For the line y = −6x + 5, write the slope and the y-intercept.

Answer: slope −6; 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.

3.For the line y = −5x + 9, write the slope and the y-intercept.

Answer: slope −5; 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.

4.Find the slope of the line through (3, −4) and (4, −2).

Answer: 2

  1. slope = rise ÷ run = (−2 − (−4)) ÷ (4 − 3)
  2. = 2 ÷ 1 = 2
5.Find the slope of the line through (−6, 1) and (−1, −14).

Answer: −3

  1. slope = rise ÷ run = (−14 − 1) ÷ (−1 − (−6))
  2. = −15 ÷ 5 = −3
6.For the line y = 3x − 6, write the slope and the y-intercept.

Answer: slope 3; 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.

7.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.

8.Find the slope of the line through (−3, −4) and (−4, −7).

Answer: 3

  1. slope = rise ÷ run = (−7 − (−4)) ÷ (−4 − (−3))
  2. = −3 ÷ −1 = 3
9.For the line y = x + 4, write the slope and the y-intercept.

Answer: slope 1; 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.

10.For the line y = x + 8, write the slope and the y-intercept.

Answer: slope 1; y-intercept 8

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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