Answer:
3/5
Explanation:
5x+3y=7
First we need to solve for the slope by finding y
Subtract 5x from each side
5x-5x+3y=-5x+7
3y = -5x+7
Divide by 3
3y/3 = -5x/3 +7/3
y = -5/3 x +7/3
This is in slope intercept form so we can see the slope is -5/3
We want a line that is perpendicular
That is the negative reciprocal
m perpendicular = - (-3/5)
= 3/5