What is the equation of the line that passes through the point (-7,4)(−7,4) and has a slope of 0?

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