What’s the answer

Question

Given U (-2,-4) and V (-6,4)

write an equation for the line through U and perpendicular to UV

Answer 1

Use the formula: y = m*x + b, where m is the slope, and b is the y value when x = 0

The line through U and V is y = -2*x - 8

To get the perpendicular line, first recognize that the slope must be + 1/2 (Plot on graph paper to see this)

Then, plug the values into y = m*x + b (point U is (-2, -4)

-4 = (1/2 * -2) + b

b = -3

SO: y = (1/2 * x) - 3

Plot on graph paper to check