Answer:
y = -5x - 19
Explanation:
The equation of the line is given as:
y = [tex]\frac{1}{5}x[/tex] + 12
Points = (-4, 1)
Now,
A line perpendicular to this given line will have slope which is a negative inverse of the given one.
Any straight line will have the equation;
y = mx + c
y and x are the coordinates
m is the slope
c is the y-intercept;
y = [tex]\frac{1}{5}x[/tex] + 12 , slope of a line perpendicular is -5;
Let us find the y-intercept c, of the new line;
1 = -5(-4) + c
1 = 20 + c
c = -19
Now, the equation of the line is;
y = -5x - 19
