SOLUTION: find an equation for the line with y-intercept 3 that is perpendicular to the line y=2/3x-4.

Question 80532: find an equation for the line with y-intercept 3 that is perpendicular to the line y=2/3x-4.
Answer by tutorcecilia(2152) (Show Source): You can put this solution on YOUR website!

Perpendicular lines have slopes that are the "negative reciprocals" of each other. Example: Slope #1 = 2, Slope #2 = (-1/2)=-1/2 if the lines are perpendicular:
.
Using the slope-intercept formula:
y=mx+b
m=the slope
b=the y-intercept
.
If Line #1 has a slope of 2/3 (The equation of the line is y=2/3x-4.)
Than Line #2 has a slope of -3/2
Line #2 also has a y-intercept (b-term) of 3
Than for Line #2, the equation of the line is y=-3/2x+3
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