Question

Write the equation of the perpendicular bisector’s of the line AB given: A(1,3) & B(-3,5)

Answer 1

y = 2x + 1

Explanation:

`(5-3)/(-3-1)` =
`(2)/(-4)` =
`(1)/(-2)`

Perpendicular slopes are the opposite reciprocals . So the slope of the line will be 2

slope (m) = 2

y = 3 You could use either point given. I chose (1,3)

x = 1 From the point given (1,3)

y = mx + b substitute in what you know and solve for b

3 = (2)(1) + b

3 = 2 + b Subtract 2 from both sides

1 = b

The y-intercept is 1.

y = mx + b

y = 2x + 1