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:
[tex]y=mx+b[/tex]
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,
[tex]\begin{gathered} y=mx+b \\ -5=(0)(-2)+b \\ \text{Simplify and rearrange} \\ b=-5 \end{gathered}[/tex]
Next, we plug in m=0 and b=-5 into y=mx+b:
[tex]\begin{gathered} y=mx+b \\ =(0)x-5 \\ \text{Simplify} \\ y=-5 \end{gathered}[/tex]
Therefore, the equation of the line is:
[tex]y=-5[/tex]
