SOLUTION: What is the slope of a line perpendicular to y+4x=-7?

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Question 715192: What is the slope of a line perpendicular to y+4x=-7?
Found 2 solutions by Alan3354, MathLover1:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
What is the slope of a line perpendicular to y+4x=-7?
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1/4
Do you know why?

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

recall, the slope values are negative reciprocals if lines perpendicular; m%5Bp%5D=-%281%2Fm%29
given
y%2B4x=-7...write in slope-intercept form y=mx%2Bb
y=-4x-7...so, slope m=-4
then the slope of a line perpendicular to y=-4x-7 will be
m%5Bp%5D=-%281%2F-4%29
m%5Bp%5D=1%2F4%29