Answer:
The equation is;
y = -3/4x + 12
Explanation:
The general form for the equation of a straight line is;
y = mx + b
where m is the slope and b is the y-intercept
With respect to this question;
4/3 is the slope and 1 is the intercept
If two lines are perpendicular, then the product of their slopes is -1
Mathematically;
4/3 * m2 = -1
m2 = -3/4
So to find the equation of this second line, we use the point slope form
This is;
y-y1 = m(x-x1)
y-4 = -3/4(x + 8)
y- 4 = -3/4x + 8
y = -3/4x + 12