Answer:
y=x+5
Step-by-step explanation:
The equation is given in slope-intercept form, so we can read the slope from the equation. It is the x-coefficient, -1.
The slope of the perpendicular line will be the opposite reciprocal of this value:
-1/-1 = 1
The new y-intercept will be ...
b = y -mx = (4) -(1)(-1) = 5
Then the slope-intercept equation of the perpendicular line is ...
y = x +5
