Consider the line segment AB,
let M be the midpoint of AB, so AM=MA
erect the perpendicular MT to AB from point M. Pick a point P on MT and join it to the points A and B
The triangles PMA and PMB are congruent from the Side Angle Side congruence postulate:
AM=MA, PM is common and m(PMA)=m(PMB)=90°, as MT is perpendicular to AB
the given function is
this function has y-intercept at
-4 and a slope of 2.
note that, the graph has a positive slope.
the graph that represents this function is the straight line that moves upward from left to right.
the graph touches the y-axis at -4.
the correct choice is the graph shown in the attachment.