Find an equation for the line that passes through the point

(x, y) = (5, −6)
and is parallel to the x-axis.

lines parallel to the x-axis have the form y = k

since you have the point (5,-6) the line would be y = -6

To find the equation for a line parallel to the x-axis, we need to know that all points on this line will have the same y-coordinate. Since this line is parallel to the x-axis, the y-coordinate will not change.

Given the point (x, y) = (5, -6), we know that this point lies on the line we want to find the equation for. Substituting the values of x and y into the equation, we get:

y = -6

So, the equation for the line parallel to the x-axis that passes through the point (5, -6) is y = -6.