Question

Y - 5 = –2(x + 1)Find the slope!

Answer 1

We are given the following equation

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

We want to find out the slope of the equation.

First of all, convert the given equation into slope-intercept form.

`\begin{gathered} y-5=-2(x+1) \\ y-5=-2x-2 \\ y=-2x-2+5 \\ y=-2x+3 \end{gathered}`

Recall that the standard slope-intercept form is given by

`y=mx+b`

Where m is the slope

b is the y-intercept

So comparing the standard form with the above equation,

The slope of the equation is

m = -2

The y-intercept is 3.

`m=-2`