SOLUTION: Find an equation of the line that goes through (1,3) and is perpendicular to the line through (0,8) and (-2,0)

Algebra ->  Linear-equations -> SOLUTION: Find an equation of the line that goes through (1,3) and is perpendicular to the line through (0,8) and (-2,0)      Log On


   

Question 148244: Find an equation of the line that goes through (1,3) and is perpendicular to the line through (0,8) and (-2,0)
Answer by mangopeeler07(462) About Me  (Show Source):
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Find an equation of the line that goes through (1,3) and is perpendicular to the line through (0,8) and (-2,0)

Find the slope:
Difference of y's over difference of x's
%288-0%29%2F%280-2%29 or 8%2F-2 or -4.

Find the negative reciprocal of -4.
1%2F4. The perpendicular will have this slope.

y=mx+b is slope intercept form.

Plug in what you know:

y=1/4x+b

To find b, plug in the coordinates (1,3)

3=1/4(1)+b

Simplify
3=1/4 +b

Subtract 1/4 from 3
11/4=b.

Plug it in.
y=1/4x+11/4. This is the equation of the line.