SOLUTION: I need an linear equation that is perpendicular to the line y=4x+5 and that passes through the point (0,-3)??

Question 167516: I need an linear equation that is perpendicular to the line y=4x+5 and that passes through the point (0,-3)??
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
I need an linear equation that is perpendicular to the line y=4x+5 and that passes through the point (0,-3)??
.
From inspecting:
y=4x+5
we see that the slope is 4
.
A line that is perpendicular is a negative reciprocal:
-1/4
.
Now, we have a slope (-1/4) and a point (0, -3)
Plug it into the "point slope form":
y - y1 = m(x-x1)
y - (-3) = (-1/4)(x-0)
y + 3 = (-1/4)x
4y + 12 = -x
4y = -x - 12
y = (-1/4)x - 3
y = -x/4 - 3 (This is what they're looking for)

RELATED QUESTIONS
Find an equation of the line that passes through the point (5, 3) and is perpendicular to (answered by TimothyLamb)

I have to write an equation for a line that passes through the point (0,-4) and is... (answered by tutor_paul)

Write an equation in slope-intercept form for the line that is perpendicular to the line... (answered by stanbon)

Find an equation of the line that passes through the point (2, 3) and is perpendicular to (answered by mananth)

write an equation of the line that is perpendicular to the given line and passes through... (answered by mananth)

What is the equation of a line that is perpendicular to y=4x+5 and passes through the... (answered by Fombitz)

find the equation of the line that passes through the point (2,6) and is perpendicular to (answered by jim_thompson5910)

What is an equation of the line that passes through the point (4,−3) and is... (answered by Alan3354,josgarithmetic,ikleyn)

write an equation of a line that passes through the point (8,2) that is (a) parallel and... (answered by josgarithmetic)