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