# Lesson Worksheet: Equations of Parallel and Perpendicular Lines Mathematics

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

Q1:

Write, in the form , the equation of the line through that is parallel to the line .

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Q2:

Find, in slope-intercept form, the equation of the line parallel to that passes through point .

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Q3:

A straight line has the equation . Find the equation of the line parallel to that passes through the point .

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Q4:

Find, in slope-intercept form, the equation of the line perpendicular to that passes through the point .

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Q5:

Determine, in slope-intercept form, the equation of the line passing through perpendicular to the line passing through and .

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Q6:

Write, in the form , the equation of the line that is parallel to the line and that intercepts the -axis at 1.

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Q7:

Consider the triangle on , , and , and let be the midpoint of . Now let on be the intersection of the parallel to through the point . Find the equation of in the form .

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Q8:

Lines and are perpendicular to each other and meet at . If the slope of is 0, what is the equation of line ?

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Q9:

Determine whether the lines and are parallel, perpendicular, or neither.

• Aperpendicular
• Bparallel
• Cneither

Q10:

If a line is perpendicular to the line , and passes through the points and , what is the value of ?

This lesson includes 34 additional questions and 306 additional question variations for subscribers.