Question

Find the equation of the line. The perpendicular bisector to the line segment with endpoints (-9,9) and (3,5). The equation of the line is y =

Answer 1

To find the equation of the line, we will use the formula;

`y-y_1=(y_2-y_1)/(x_2-x_1)(x-x_1)`

where x₁ = -9 y₁=9 x₂=3 y₂=5

substituting into the formula:

`y-9=(5-9)/(3+9)(x+9)`

simplify

`y-9=(-4)/(12)(x+9)`

`y-9=(-1)/(3)(x+9)`
`y-9=(-1)/(3)x\text{ -3}`

`y=-(1)/(3)x-3+9`

`y=-(1)/(3)x\text{ +6}`