Question

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

Answer 1

Step-by-step 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:

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

Given point: (-7, 4)

m = 0

substitute in the equation:

`\begin{gathered} y\text{ - 4 }=\text{ 0(x - (-7))} \\ y\text{ - 4 = 0(x + 7)} \\ y\text{ - 4 = 0} \\ y\text{ = 4} \end{gathered}`

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