Question

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

Answer 1

Answer:

Option (2)

Step-by-step 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' = $-\frac{7}{10}$

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

Equation of the line will be,

y + 71 = $-\frac{7}{10}(x-80)$

y = $-\frac{7}{10}x+56-71$

y = $-\frac{7}{10}x-15$

Option (2) will be the answer.