SOLUTION: What is perpendicular to y=-4x+7 through the point (0,-1)

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Question 1151177: What is perpendicular to y=-4x+7 through the point (0,-1)
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

a line which is perpendicular to y=-4x%2B7 through the point (0,-1) must have a slope negative reciprocal to the slope of given line
so, the slope will be m=-%281%2F-4%29=1%2F4
and equation is y=%281%2F4%29x%2Bb so far
use given point to calculate b: since (0,-1) has x=0, means it is y-intercept already and b=-1
y=%281%2F4%29x-1