Answer:
y = -2x + 11
Explanation:
A perpendicular slope is the negative reciprocal of the slope given in the equation. The slope given in the equation is 1/2 so the negative reciprocal would be -2.
Now we have to find the y-intercept. We will use the slope and the point (3,5) to find it. In the ordered pair (3,5). The x is 3 and the y is 5.
y = mx + b
5 = -2(3) + b
5 = -6 + b Add 6 from both sides
11 = b
y = mx = b
y = -2x + 11