Posted by **sunny** on Wednesday, January 4, 2012 at 5:21am.

Find (a) the equation of a line that is parallel to the given line and includes the given point, and (b) the equation of a line that is perpendicular to the given line through the given point. Write both answers in slope-intercept form.

y = -4x + 2, (5, 4)

- college alg -
**drwls**, Wednesday, January 4, 2012 at 5:39am
(a) You want a line with slope -4 that passes through (5,4)

The equation will have the form

y = -4x + b

Now substityute x = 5 and y = 4 and solve for b.

4 = -20 + b

b = 24

y = -4x + 24

(b) You want a line with slope 1/4 that passes through (5,4)

Follow the same procedure:

y = x/4 + b'

Let x = 5, y = 4 and solve for b'

4 = 5/4 + b'

b' = 11/4

y = (x/4) + 11/4

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