Question

50 points! Please help asap! Write the equation of the perpendicular bisector of the line AB given endpoints A(3,-3) and B(1,-1). I will mark brainliest!

Answer 1

Answer:

• y = x - 4

Step-by-step explanation:

Given AB with coordinates A(3, -3) and B(1, -1)

Perpendicular bisector passes through midpoint of the segment.

Midpoint of AB has coordinates:

• x = (3 + 1)/2 = 2, y = (-3 - 1)/2 = -2

Slope of AB

• m = (-1 + 3)/(1 - 3) = 2/-2 = -1

Slope of the perpendicular line is:

• -1/m = -1/-1 = 1

The equation of the line in point-slope form:

• y - y₁ = m(x - x₁), where m = 1, x₁ = 2, y₁ = -2
• y - (-2) = 1(x - 2) ⇒ y + 2 = x - 2

Converted into slope-intercept form:

• y = x - 4