Question

I don’t know how to do this I have to create a equation

Answer 1

Answer

Explanation

Given the word problem, we can deduce the following information:

m=0

(-2,-5)

To determine the equation of the line, we note first that the standard slope intercept form is:

$y=mx+b$

where:

m=slope

b=y-intercept

Since (-2,-5) is given, we plug in x=-2, y=-5 and m=0 into y=mx+b. So,

$\begin{gathered} y=mx+b \\ -5=(0)(-2)+b \\ \text{Simplify and rearrange} \\ b=-5 \end{gathered}$

Next, we plug in m=0 and b=-5 into y=mx+b:

$\begin{gathered} y=mx+b \\ =(0)x-5 \\ \text{Simplify} \\ y=-5 \end{gathered}$

Therefore, the equation of the line is:

$y=-5$