SOLUTION: Here is the question: Write an equation of a line that is perpendicular to y=-3/4x+2 and passes through (-4,1).

Algebra ->  Equations -> SOLUTION: Here is the question: Write an equation of a line that is perpendicular to y=-3/4x+2 and passes through (-4,1).      Log On


   

Question 21972: Here is the question: Write an equation of a line that is perpendicular to
y=-3/4x+2 and passes through (-4,1).
Answer by Alwayscheerful(414) About Me  (Show Source):
You can put this solution on YOUR website!
To find a perpendicular line, you need the opposite of the reciprocal.
y=%28-3%2F4%29x%2B2
The perpendicular line's slope would then be
highlight%284%2F3%29

Your new line's slope intercept form:
y=%284%2F3%29x%2Bb
To find b, you need to use the given ordered pair.
1=%284%2F3%29%2A%28-4%29%2Bb
1%2B%2816%2F3%29=b
highlight%2819%2F3=b%29
Then put the numbers together
highlight(y=(4/3)x+19/3
Hope this helps!