Question

write the equation in point -slope form using this graph

Answer 1

Step-by-step explanation:

Step 1:  Write the equation using point-slope form

Point-Slope Form:  $y-y_{1}=m\left(x-x_{1}\right)$

$y-0=m(x-3)$

$y = m(x-3)$

Step 2:  Find the slope

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

$m=\frac{-2-0}{-2-(-3)}$

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

$m=-2$

Step 3:  Combine them together

$y = m(x - 3)$

y = -2(x - 3)

IF NEEDED:  Completely factor

$y = (-2 * x) + (-2 * -3)$

y = -2x + 6