Explanation:
perpendicular means at a 90° angle.
the slope (incline) of a line is always the factor of x. in our case of the original line 4.
it is the ratio of
y change / x change
so, the "4" is actually 4/1.
a perpendicular slope is just turning y/x upside down and flips the sign.
so, the slope of our new line is
-1/4
and the new line looks like
y = -1/4 x + b
to get b we simply use the point coordinates for x and y :
-1 = -1/4 × 4 + b
-1 = -1 + b
so, b = 0
the final equation for our new line is
y = -1/4 x or -x/4
so I guess you left something out at the answer options, and the answer would be D.