Question

Geometry- I'm not sure what to do after figuring out what m equals

Answer 1

The equation of a line is given by

`y=m\cdot x+b`

Which is the slope-intercept form, where m is the slope and b is the y-intercept

To calculate the slope of the line we need 2 points:

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

From the graph we can identify them as A and B

`\begin{gathered} A\to(-4,5) \\ B\to(-2,1) \end{gathered}`

We replace the points in the equation of the slope:

`\begin{gathered} m=(1-5)/(-2-(-4)) \\ m=(-4)/(2) \\ m=-2 \end{gathered}`

Now we replace the value of the slope in the equation of the line:

`y=-2x+b`

Using any of the 2 points given by the graph (A or B) we will find the b of the equation:

`\begin{gathered} b=y+2x \\ b=5+2(-4) \\ b=5-8 \\ b=-3 \end{gathered}`

The equation of the line for the graph would be:

`y=-2x-3`