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In this worksheet, we will practice writing the equation of a line parallel or perpendicular to another line.

Q1:

Write, in the form 𝑦 = 𝑚 𝑥 + 𝑐 , the equation of the line through ( − 1 , − 1 ) that is parallel to the line − 6 𝑥 − 𝑦 + 4 = 0 .

Q2:

Find, in slope-intercept form, the equation of the line parallel to 𝑦 = − 8 3 𝑥 + 3 that passes through point 𝐴 ( − 3 , 2 ) .

Q3:

A straight line 𝐿 has the equation 𝑦 = − 2 𝑥 − 3 . Find the equation of the line parallel to 𝐿 that passes through the point ( 1 , 3 ) .

Q4:

Write, in the form 𝑦 = 𝑚 𝑥 + 𝑐 , the equation of the line through ( 1 , 2 ) that is parallel to the line 3 𝑥 − 3 𝑦 + 7 = 0 .

Q5:

Write, in the form 𝑦 = 𝑚 𝑥 + 𝑐 , the equation of the line through ( − 2 , 3 ) that is parallel to the line − 3 𝑥 − 𝑦 + 9 = 0 .

Q6:

Find, in slope-intercept form, the equation of the line parallel to 𝑦 = 9 1 0 𝑥 + 4 that passes through point 𝐴 ( 1 , 5 ) .

Q7:

Find, in slope-intercept form, the equation of the line parallel to 𝑦 = − 1 8 𝑥 + 4 that passes through point 𝐴 ( − 1 , 5 ) .

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