Name: ____________________________________
Date: __________________
Parallel and Perpendicular Lines Homework
Write each equation in slope-intercept form. SHOW ALL WORK!
1) Write the equation of the line that has a y-intercept of -2 and is parallel
1
to the graph of 𝑦 = 2 𝑥 + 6.
2) Write the equation of the line that passes through (5, 6) and is
perpendicular to the graph of 𝑦 = −4𝑥 − 9. *Hint: first write in point-slope form.
3) Write the equation of the line that passes through (-4, 1) and is parallel
to the graph of 6𝑥 + 2𝑦 = −4. *Hint: first write in point-slope form.
4) Write the equation of the line that has a y-intercept of 10 and is
perpendicular to the graph of 3𝑥 − 9𝑦 = 15.
Name: ____________________________________
Date: __________________
Determine if each pair of lines is parallel, perpendicular, or neither. Explain your
answer.
5) 𝑦 = −3𝑥 + 2
9𝑥 + 3𝑦 = −6
7) 𝑦 = 2
𝑥 = −9
6) 8𝑥 + 4𝑦 = 1
1
𝑦 = 2 𝑥 − 1.
8) 8𝑥 − 2𝑦 = 2
4𝑥 − 𝑦 = −10