Question

Write an equation in point-slope form for the line through the given plot with the given slope (-3,-7) m= -6/5

Answer 1

The point slope form for the line passing through the point
`(x_(1), y_(1))` with the given slope m is given by
`(y-y_(1)) = m (x-x_(1))`.

We need to find the point slope form passing through the point
`(-3,-7)` and slope as
`(-6)/(5)` is:

`(y-(-7))=-(6)/(5)(x-(-3))`

`(y+7)=-(6)/(5)(x+3)`

`5y+35=-6x-18`

`5y+6x =-53` is the required point slope form.