Question

Choose the equation of the horizontal line that passes through the point (-5,9)

Answer 1

We are asked to find the equation of the horizontal line that passes through the point (-5, 9)

Recall that point-slope is given by

$y-y_1=m(x_{}-x_1)$

Where m is the slope of the line and x1 and y1 are the coordinates of the given point.

We know that the slope of a horizontal line is 0.

So let us substitute m = 0 and the given point into the above formula

$\begin{gathered} y-9_{}=0\cdot(x_{}-(-5)_{}) \\ y-9=0 \\ y=9 \end{gathered}$

Therefore, the equation of the line is y = 9