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Answer :

Explanation:

From the question, we have a point and the slope of the line given.

To get the equation of line, a point slope equation will be used:

[tex]\begin{gathered} y-y_1=m(x-x_1) \\ \text{where m = slope} \\ (x_{1,}y_1)\text{ is the given point} \end{gathered}[/tex]

Given point: (-7, 4)

m = 0

substitute in the equation:

[tex]\begin{gathered} y\text{ - 4 }=\text{ 0(x - (-7))} \\ y\text{ - 4 = 0(x + 7)} \\ y\text{ - 4 = 0} \\ y\text{ = 4} \end{gathered}[/tex]

Note: whenever the slope of a line is zero, the equation will be in the form y = b

where b is the value of the y coordinate of the given point. Also th