Question

Equation (Use / for a fraction, include "y=" and no spaces)

Answer 1

To find the equation, first, we have to find the slope.

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

Let's replace the points (-4,-7) and (2,-4).

`m=(-4-(-7))/(2-(-4))=(-4+7)/(2+4)=(3)/(6)=(1)/(2)`

Then, we use the point-slope equation.

`\begin{gathered} y-y_1=m(x-x_1) \\ y-(-4)=(1)/(2)(x-2) \\ y+4=(1)/(2)x-1 \\ y=(1)/(2)x-1-4 \\ y=(1)/(2)x-5 \end{gathered}`

Hence, the equation is

`y=(1)/(2)x-5`