Answer:
y = (8/5)x + 15
Step-by-step explanation:
<em>First change the equation to standard form (y=mx+b)</em>
5x + 8y = 16
8y = 16 - 5x
y = - (5/8)x + (16/8)
y = - (5/8)x + 2
<em>Perpendicular Lines have the inverse opposite sign of slope</em>
<em>[For example: inverse opposite sign of 2 is - (1/2)]</em>
Original equation slope (m) : - (5/8)
2nd Equation (m) : 8/5
<em>After finding the slope, plug in the slope and points the standard form equation (y=mx+b)</em>
Point: (-5,7) x : -5 y : 7
Slope (m) : 8/5
y = m x + b
7 = (8/5) (-5) + b
<em>'b' is the y-intercept and the last thing to solve for the equation</em>
7 = - 8 + b
15 = b
<em>Now, put the slope (m) and y-intercept (b) back into the equation</em>
y = (8/5)x + 15
