Question

Find the equation of the line through the points (-3,-3) and (2,-1) using point-slope form. Then rewrite the

Answer 1

Answer: See below

Step-by-step explanation:

The point-slope equation is y-y₁=m(x-x₁). Since we don't know our slope, we can use the formula $m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$ to find the slope. All we have to do is use the coordinate we were given and plug it into the formula.

$m=\frac{-1-(-3)}{2-(-3)} =\frac{2}{5}$

Now that we have the slope, we can fill out the point-slope equation.

y-(-3)=2/5(x-(-3))

y+6=2/5(x+3)

This is the point-slope form.

Now, we can distribute and solve to get slope-intercept form.

y+6=2/5x+6/5

y=2/5x-24/5