Question

Can someone solve point-slope lines and show work? I’m confused

Answer 1

Option (2)

Explanation:

Equation of a line passing through a point (x', y') and slope 'm' is given by,

y - y' = m(x - x')

From the question in the picture attached,

Slope of the line 'm' =
`-(7)/(10)`

Line passes through a point (80, -71).

Equation of the line will be,

y + 71 =
`-(7)/(10)(x-80)`

y =
`-(7)/(10)x+56-71`

y =
`-(7)/(10)x-15`

Option (2) will be the answer.