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=(y_2-y_1)/(x_2-x_1)`

In our case we have

`\begin{gathered} m=(-4-(-10))/(0-(-2)) \\ =(-4+10)/(2) \\ =(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`