Question

A line passes through the point (-7,-4) and has a slope of -2.Write an equation in slope-intercept form for this line.X Х?

Answer 1

Slope intercept form is:

`y=mx+b`

Where

m is the slope

b is the y-intercept (y-axis cutting point)

Now, the slope is given, so we have:

`y=-2x+b`

We now need to find b. So we plug in the point.

-7 in x

-4 in y

Thus,

`\begin{gathered} y=-2x+b \\ -4=-2(-7)+b \\ -4=14+b \\ -4-14=b \\ b=-18 \\ \end{gathered}`

So, the equation becomes:

`y=-2x-18`y = -2x - 18