Answer:
y = x + 5
Step-by-step explanation:
Perpendicularity: Slope is the opposite reciprocal. In this case with it being -1 aka -1/1, the slope will be 1 aka 1/1
Find the opposite reciprocal of the slope
m = -1 = -1/1
so,
m⊥ = 1 as the opposite reciprocal is 1/1
2 - Plug the new slope into y = mx + b
y = mx + b
y = 1x + b
y = x + b
3 - Plug the point values in replacing x and y to get alone and solve for the y intercept, b.
y = x + b
-4 = -9 + b
+9 +9
5 = b
4 - Plug into the values into y = mx + b all together
y = mx + b
y = 1x + 5
y = x + 5
Hope this helps :)
