Fing an equation of the line that passes through (5, 7) and is perpendicular to y=5x-9

Since it’s perpendicular tu have to flip the slope and change the sing which in this case would be - 1/5

Then you put the equation together:

y-7=-1/5 (x-5)

Distribute:

y-7=-1/5x+1

Add the 7 to both sides of the equation:

y-7=-1/5x+1

+7 + 7

And the final answer is: y=-1/5+8