Answer:
5x - 3y = 15
Step-by-step explanation:
Given line has two points (-3,2) and (3,0)
Now we find the slope of given line
\(slope m = \frac{y_2-y_2}{x_2-x_1} =\frac{-1-2}{2+3} =\frac{-3}{5}\)
Slope of given line is -3/5
Slope of perpendicular line is the negative reciprocal of the slope of given line
slope of perpendicular line = \(\frac{5}{3}\)
It passes through the point (3, 0)
We know the slope and the point (3,0), so we use point slope form
\(y-y1= m(x-x1)\)
\(y - 0 = \frac{5}{3}(x-3)\)
\(y= \frac{5}{3}x-5\)
Now we multiply the whole equation by 3
3y = 5x - 15
Subtract 5x on both sides
-5x + 3y = -15
Divide the whole equation by -1
5x - 3y = 15
