Question

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

Answer 1

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