Answer:
y = x + 8
Step-by-step explanation:
To make a perpendicular point, you have to make the slope an opposite reciprocal.
Since the original slope is -1, then it just becomes positive 1, or just x by itself.
But next, you need to use the point slope formula to make the rest of the equation.
POINT SLOPE FORMULA: y - y1 = m (x - x1)
insert the given info. y - 12 = 1 (x - 4)
Move the constants on the left to the right.
y - 12 = 1 (x - 4)
+12 +12
➡️y = x + 8