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?

Question

asked Dec 17, 2023 191k views

1 Answer

Fuchsia · Answer 1 · 2023-12-23T17:29:27+0000

Slope intercept form is:

Where

m is the slope

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

Now, the slope is given, so we have:

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