Question

En the line below.

Answer 1

Answer:

y + 1 = - $\frac{2}{7}$ (x + 4)

Step-by-step explanation:

The equation of a line in point- slope form is

y - y₁ = m(x - x₁)

where m is the slope and (x₁, y₁) a point on the line

Calculate m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (- 4, - 1) and (x₂, y₂ ) = (3, - 3)

m = $\frac{-3+1}{3+4}$ = $\frac{-2}{7}$ = - $\frac{2}{7}$

and (x₁, y₁ ) = (- 4, - 1), then

y - (- 1) = - $\frac{2}{7}$ ( x - (- 4) ) , that is

y + 1 = - $\frac{2}{7}$(x + 4) ← equation of line