Answer:
The equation of the second line is;
y = 4x - 27
Step-by-step explanation:
Firstly, we need the slope of the first line
To get the slope, we need the equation in the general form of ;
y = mx + c
where m is the slope of the line
Thus, we have in this case, to divide through by -5
That will give the slope value as -5/20 = -1/4
If two lines are perpendicular, the product of their slopes is -1
The slope of the line we want to calculate, let us call it m
m * -1/4 = -1
-m = -4
m = 4
So we want to write the equation of a line with slope 4 and point (8,5)
We proceed to use the point-slope form
That will be;
y-y1 = m(x-x1)
y-5 = 4(x-8)
y-5 = 4x-32
y = 4x -32 + 5
y = 4x -27
