Question

Write an equation in slope-intercept form of the line that passed through (-3, 4) and (1. 4).

Answer 1

The two points share the same y coordinate, which means that the line is horizontal, and this in turn means that the slope is 0.

Since a line written in slope-intercept form is

$y=mx+q$

In the case of m=0 the equation is

$y=q$

where the constant $q$ is the common y coordinate shared by all points.

So, in your case, the equation is

$y=4$