Write an equation for a line perpendicular to y = 2 x + 4 and passing through the point ( − 2 , 3 ) . Express your answer in slope-intercept form.

y = -1/2x + 2

Step-by-step explanation:

A perpendicular line will have a opposite reciprocal slope.

Since the line's slope is 2, the perpendicular line will have a slope of -1/2

Plug in the slope and given point into y = mx + b, and solve for b

y = mx + b

3 = -1/2(-2) + b

3 = 1 + b

2 = b

Plug in the slope and b into y = mx + b

y = -1/2x + 2

So, the equation is y = -1/2x + 2