Question

Find the slope intercept form for the equation of the line which passes through the point ( -2,15 )and has a slope of -1

Answer 1

The answer is:

y = -x + 13

Work/explanation:

First, we will write the equation in the form of
`\sf{y-y_1=m(x-x_1)}`, which is point slope.

Plug in the data

`\large\begin{gathered}\sf{y-15=-1(x-(-2)}\\\sf{y-15=-1(x+2)}\\\sf{y-15=-1x-2}\\\sf{y-15=-x-2}\\\sf{y=-x-2+15}\\\sf{y=-x+13}\end{gathered}`

Hence, the slope intercept is y = -x + 13.