Let's begin with recalling the Trapezoid Midsegment Theorem. This theorem tells us that the midsegment of a trapezoid is parallel to both bases. In our exercise, we are given equations that contain bases of a trapezoid, and we're asked to find the equation that represents the line containing the midsegment.
y=mx+ b
To do this, we will use the fact that parallel lines have the same slope. Therefore, the slope of the line that contains the midsegment will also equal 1, like the given equations.
y=1x+ b
Next, to find b, which is the y-intercept of a line, we will evaluate the mean of the y-intercepts of the given equations. Let's add 4 and -8 and then divide this sum by 2.
