Question

Write the equation of the line passing through the points (-4,7) and (4,5).

Answer 1

y=
`-(1)/(4)`x+6

Explanation:

To find the slope:
`(5-7)/(4-(-4))` -->
`(5-7)/(4+4)` -->
`(-2)/(8)` -->
`-(1)/(4)`

Insert into the point-slope form: (y-7)=
`-(1)/(4)`(x+4)

Solve: y-7=
`-(1)/(4)`x-1 --> y=
`-(1)/(4)`+6