Answer:
D. y = -3x + 16
Explanation:
1. Convert the equation to slope intercept form (Y = MX + B).
You move the X over by subtracting X from both sides of the equation. Then you have -3y = -x -18. Divide -3 from both sides of the equation completely. You are now left with y = (1/3)x -6.
2. Get the perpendicular slope.
In order to get the perpendicular slope (slope is the M in Y = MX + B). you have to take your current slope (1/3) and flip it over AND change the sign. So your perpendicular slope is -3. You can already cross out options that don't have the perpendicular slope.
3. Find the y-intercept of the perpendicular equation.
Now that you have your perpendicular slope. Get your given point that the line needs to pass through. Plug the X and Y into the proper places in slope intercept form. So your slope is -3. Your y is 4. Your x is 4. Plug that in. 4 = -3(4) + b. B is what you're looking for. Simplify the current equation. 4 = -12 + b. Then you move the -12 over by adding 12 to each sides. Now you have 16 = b. B is the y intercept. Aka 16 is your y intercept.
Your answer should be: y = -3x + 16