Question

Use the line tool to graph the line passing through (3,-2) whose slope is m = -2

Answer 1

Given:

P(3, -2)

m = -2

The linear equation is of the form y = mx + b where m is the slope and b is y-intercept. So we find b:

`\begin{gathered} y=mx+b \\ -2=-2(3)+b \\ -2=-6+b \\ -2+6=-6+b+6 \\ b=4 \end{gathered}`

Therefore, the equation is:

`y=-2x+4`

Graphing: