# Worksheet: Equations of Parallel and Perpendicular Lines

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

**Q12: **

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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**Q13: **

If and , find the cartesian equation of the straight line passing through the point of division of internally in the ratio and perpendicular to the straight line whose equation is .

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**Q14: **

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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**Q15: **

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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**Q17: **

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

**Q18: **

Suppose that is the line , and the line . Find the value of so that .

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**Q23: **

Find the equation of the straight line passing through the point and perpendicular to the straight line passing through the points and .

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**Q24: **

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

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