Question

Write the slope of the line in slope-intercept form using y=mx+b

Answer 1

In order to find the equation for this line in the slope-intercept form, let's use two points of the line in the equation.

Using the points (-3, 3) and (0, -3), we have:

`\begin{gathered} y=mx+b \\ (0,-3)\colon \\ -3=0\cdot m+b \\ b=-3 \\ \\ (-3,3)\colon \\ 3=-3m-3 \\ -3m=6 \\ m=-2 \end{gathered}`

So the slope of this line is m = -2, the y-intercept is b = -3 and the equation is y = -2x - 3.