Answer:
7y+24x = -12
Step-by-step explanation:
Equation of line PQ in point slope form is expressed as;
y -y0 = m(x-x0)
m is the slope of {Q
(x0, y0) is the point on the line
Given the line 7x-24y+10=0
Get the slope
-24y = -7x -10
y = -7/-24 x - 10/-24
y = 7/24 x + 5/12
Slope = 7/24
Slope of the line PQ perpendicular to it = -24/7
Substitute m = -24/7 and (-2, 4) into the formula;
y - 4 = -24/7(x+2)
7(y-4) = -24(x+2)
7y - 28 = -24x-48
7y + 24x = -40 + 28
7y+24x = -12
This gives the equation of the line PQ
