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10th Grade Slope and Linear Equations Worksheet — Level 2 — 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 2 — 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.Find the slope of the line through (2, 5) and (−2, 13).

Answer: −2

  1. slope = rise ÷ run = (13 − 5) ÷ (−2 − 2)
  2. = 8 ÷ −4 = −2
2.For the line y = x + 7, write the slope and the y-intercept.

Answer: slope 1; y-intercept 7

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.For the line y = x − 7, write the slope and the y-intercept.

Answer: slope 1; y-intercept −7

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 (−1, −3) and (3, −8).

Answer: −

  1. slope = rise ÷ run = (−8 − (−3)) ÷ (3 − (−1))
  2. = −5 ÷ 4 = −
6.Find the slope of the line through (−1, −6) and (−5, −13).

Answer:

  1. slope = rise ÷ run = (−13 − (−6)) ÷ (−5 − (−1))
  2. = −7 ÷ −4 =
7.A line has a slope of 2 and passes through (3, −3). Find its equation.

Answer: y = 2x − 9

  1. y = 2x + (y-intercept)
  2. −3 = 2 × 3 + (y-intercept)
  3. y-intercept = −3 − 6 = −9
  4. y = 2x − 9
8.A line has a slope of 2 and passes through (4, 17). Find its equation.

Answer: y = 2x + 9

  1. y = 2x + (y-intercept)
  2. 17 = 2 × 4 + (y-intercept)
  3. y-intercept = 17 − 8 = 9
  4. y = 2x + 9
9.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.

10.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.

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