Answer:
y = -1/2x + 4
Step-by-step explanation:
First, perpendicular lines’ slopes are negative reciprocals. Since the line slope is 2, the perpendicular line is -1/2.
Now whether or not the line passes thru (2,3) is up to the intercept.
Now to find b or intercept
Use y = mx + b to find b
Y = 3 because it’s y in the point.
M is -1/2
X is -2
3 = -1/2(-2) + b
B = 3 + -1/2(-2)
b = 3 + 1
b = 4
The intercept is 4
Therefore the equation is:
y = -1/2x + 4
