8th Grade Slope and Linear Equations Worksheet — Level 3 — Practice Set 2 — Answers
Answer sheet with worked solutions for the 8th Grade linear relationships & graphs worksheet.
Success TutoringWorksheetsAnswer sheet8th Grade · Mathematics · Linear Relationships & Graphs8th 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.A line has a slope of −5 and passes through (4, −16). Find its equation.
Answer: y = −5x + 4
- y = −5x + (y-intercept)
- −16 = −5 × 4 + (y-intercept)
- y-intercept = −16 − (−20) = 4
- y = −5x + 4
2.A line has a slope of 5 and passes through (−1, −14). Find its equation.
Answer: y = 5x − 9
- y = 5x + (y-intercept)
- −14 = 5 × (−1) + (y-intercept)
- y-intercept = −14 − (−5) = −9
- y = 5x − 9
3.For the line y = −5x + 8, write the slope and the y-intercept.
Answer: slope −5; 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.
4.Does the point (−3, 12) lie on the line y = −5x − 3?
- AYes
- BNo
Answer: Yes
Substitute x = −3: y = −5 × (−3) − 3 = 12, which matches.
5.Does the point (3, 20) lie on the line y = 4x + 8?
- AYes
- BNo
Answer: Yes
Substitute x = 3: y = 4 × 3 + 8 = 20, which matches.
6.A line has a slope of −1 and passes through (3, −10). Find its equation.
Answer: y = −x − 7
- y = −1x + (y-intercept)
- −10 = −1 × 3 + (y-intercept)
- y-intercept = −10 − (−3) = −7
- y = −x − 7
7.Does the point (−5, −1) lie on the line y = −x − 6?
- AYes
- BNo
Answer: Yes
Substitute x = −5: y = −1 × (−5) − 6 = −1, which matches.
8.A line has a slope of −5 and passes through (1, −3). Find its equation.
Answer: y = −5x + 2
- y = −5x + (y-intercept)
- −3 = −5 × 1 + (y-intercept)
- y-intercept = −3 − (−5) = 2
- y = −5x + 2
9.A line has a slope of −2 and passes through (3, −10). Find its equation.
Answer: y = −2x − 4
- y = −2x + (y-intercept)
- −10 = −2 × 3 + (y-intercept)
- y-intercept = −10 − (−6) = −4
- y = −2x − 4
10.Does the point (0, −6) lie on the line y = −5x − 6?
- AYes
- BNo
Answer: Yes
Substitute x = 0: y = −5 × 0 − 6 = −6, which matches.
Marking tips
- Give credit for correct method even when the final answer slips — the working shows where the thinking went right.
- For open-ended tasks, use the success criteria as a checklist rather than looking for one "right" answer.
- Celebrate what went well first, then pick one thing to work on next.