SOLUTION: please explain this equation in slope intercept form for the line that cintains the given point and is perpendicular to the given point(4,-3),-4x+y=-7

Algebra ->  Rational-functions -> SOLUTION: please explain this equation in slope intercept form for the line that cintains the given point and is perpendicular to the given point(4,-3),-4x+y=-7       Log On


   

Question 340191: please explain this equation in slope intercept form for the line that cintains the given point and is perpendicular to the given point(4,-3),-4x+y=-7


Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
-4x%2By=-7
Convert the equation to slope-intercept form,y=mx%2Bb where m is the slope.
y=4x-7
m=4
Perpendicular lines have slopes that are negative reciprocals.
m1%2Am2=-1
4%2Am2=-1
m2=-1%2F4
The second line has the form, y=-%281%2F4%29x%2Bb
Use the point (4,-3) to solve for b.
-3=-%281%2F4%29%284%29%2Bb
b=-2
.
.
.
highlight%28y=-%281%2F4%29x-2%29
.
.
.