Hi there! :)
[tex]\large\boxed{C.)\text{ } y = -1/2x + 4}[/tex]
Given equation:
y = 2x + 3
A perpendicular line would have a slope of the negative reciprocal, therefore:
2x --> -1/2x
Use the equation y = mx + b to plug in the given point values along with the slope to solve for the final equation:
3 = -1/2(2) + b
3 = -1 + b
3 + 1 = b
b = 4
Therefore, the final equation is:
y = -1/2x + 4
The correct answer choice is C, y = -1/2x + 4.
