SOLUTION: Write an equation in slope intercept form for the line described: contains point (4, -3)and is perpendicular to y=4x+5

Question 819546: Write an equation in slope intercept form for the line described:
contains point (4, -3)and is perpendicular to y=4x+5
Answer by LinnW(1048) (Show Source): You can put this solution on YOUR website!
We want a line perpendicular to y=4x+5.
The slope needs to be the negative inverse of
the original equation. The negative inverse
of 4 is -1/4. (4)(-1/4)=1.
Using y = mx + b as a template,
and the point (4,-3) we will
substitute -1/4 for m, 4 for x, and -3 for y.
-3 = (-1/4)(4) + b
-3 = -1 + b
add 1 to each side.
-2 = b
So our equation is y = (-1/4)x -2
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