Question

write the equation of the line in point slope form tht passes through the points (-5, -2) (-4, -5)

Answer 1

First find
\[Slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\]

Answer 2

\[Slope=\frac{-2--5}{-5--4}=-3\]

Answer 3

\[y=mx+b\]
\[m = (y_1-y_2)/(x_1-x_2)\]
\[m=-3\]
\[y=-3x+b\]
choose a point
\[-5=-3*-4+b\]
\[b=-17\]

\[y=-3x-17\]

Answer 4

or alternatively:

Answer 5

Pick any point,
(-5,-2)

y-y_{1)=m(x-x_{1})
y+2=-3(x+5)
y=-3x-15-2
y=-3x-17