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

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Question 56715This question is from textbook
: Find an equation for the line with y-intercept 3 that is perpendicular to the line y=2/3x -4. This question is from textbook

Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
Find an equation for the line with y-intercept 3 that is perpendicular to the line y=2/3x -4.
The slope intercept form of a line is highlight%28y=mx%2Bb%29 where m=slope and b=y-intercept.
The line they gave you has a slope of:y=highlight%28%282%2F3%29%29x-4, m=2/3.
Perpendicular lines have slopes that are negative reciprocals of each other, so turn the slope upside down and change its sign.
Our new line has a slope, m=-3/2 and a y-intercept,b=3. Plug those values into your slope intercept form of a line and you have:
highlight%28y=%28-3%2F2%29x%2B3%29
Happy Calculating!!!