writing equations

[jon12]

Write the equation of the line that passes through the given point an is (i) parallel to the given line and (ii) perpendicular to the given line.

point: (2,5) equation (i)

line: x=7

How do you go about solving this?

 

[DrSteve]

All vertical lines are parallel. So x=2 is parallel to x=7 and passes through (2,5).

All horizontal lines are perpendicular to all vertical lines. So y=5 is perpendicular to x=7 and passes through (2,5).

 

[jon12]

Dr. Steve is that all there is to solving for this? I screwd up the point is (2,-5) for equation 1.

 

[DrSteve]

The perpendicular line is then y=-5.

Yes - that's all there is to it.