Answer:
y=-1/4x+5
Step-by-step explanation:
perpendicular lines have slopes that multiply to -1.
Our given line:
y=4x-5
the slope (m) in it is 4. To find the slope of the perpendicular line:
4m=-1
divide by 4
m=-1/4
the slope of the new line is -1/4
here's our equation so far:
y=-1/4x+b
Since the line will pass through the point (-4,6) we can use it to solve for b (y intercept)
so substitute (-4,6) into the equation
6=-1/4(-4)+b
6=1+b
5=b
the y intercept is 5
so our equation is:
y=-1/4x+5
hope this helps! :D
Answer:
The answer is 16.
Step-by-step explanation:

First, we'll find the slope of the new line. The first line has a slope of
. Take the negative reciprocal of this (Flip the numerator and denominator, then multiply by
) to get
for the new slope.
Then, we'll use the point-slope form to make the new equation, where
is the slope and
is a point on the line:

The result is 1/3.
_____
The first attempt in the attached picture has parentheses in the wrong place for the second term. This simplifies to
.. (-5/-3)*(-4) +(10 -3)
.. = -20/3 +7
.. = -(6 2/3) +7
.. = 1/3