Answer:
y = -2x - 13
Step-by-step explanation:
The slopes of perpendicular lines are opposite reciprocals, so the slope of the equation given is 1/2, so the opposite reciprocal of this is -2. Then plug the coordinates given into the point slope formula:
y - y1 = m ( x - x1)
y - 7 = -2 ( x - - 10)
Two negatives make a positive:
y - 7 = -2 ( x + 10)
Then, distribute the -2 to ( x + 10):
y - 7 = -2x - 20
Finally, add 7 to both sides, giving you your equation.
y = -2x - 13
