Question

PLS 40 points

What is the equation in point slope form of the line that passes through the points (-1,4) and (3,-4)

Answer 1

2x+y=2

Step-by-step explanation:

Let $p1$ be the point $(-1,4)$

Let $p2$ be the point $(3,-4)$

The equation of the line passing through two points $p1=(x_{1},y_{1})$

and $p2=(x_{2},y_{2})$ is $\frac{y-y_{1}}{x-x_{1}} =\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

substituting $p1,p2$ in the above equation yields

$\frac{y-4}{x-(-1)}=\frac{-4-4}{3-(-1)}$

which when simplified gives $\frac{y-4}{x+1}=\frac{-8}{4}$

which when further simplified gives $2x+y=2$