Question

Mhanifa can you please help me on this? I will mark brainliest!

Answer 1

Answer:

• y = -4x + 7

Step-by-step explanation:

Given points:

• A(-2, -2) and B(6, 0)

The perpendicular bisector passes through the midpoint.

Finding the coordinates of the midpoint first:

• x = (-2 + 6)/2 = 2, y = (-2 + 0)/2 = -1

Next finding the slope of AB:

• m = (0 - (-2))/(6 - (-2)) = 2/8 = 1/4

The perpendicular lines have negative-reciprocal slopes.

The line will have a slope of -4 and pass through the point (2, -1)

• y  - (-1) = -4(x - 2)
• y + 1 = -4(x - 2)         - point-slope form
• y = -4x + 7                - slope-intercept form