Question

write an equation in slope intercept form for the line given the 2 points below

Answer 1

To find the equation of the line we first need to find the slope.

The slope is given by

$m=\frac{y_2-y_1}{x_2-x_1}$

In our case we have

$\begin{gathered} m=\frac{-4-(-10)}{0-(-2)} \\ =\frac{-4+10}{2} \\ =\frac{6}{2} \\ =3 \end{gathered}$

Now that we have the slope we also notice that the intercept of the line with the y-axis is -4.

Therefore, the equation is

$y=3x-4$