In the diagram, $D$ and $E$ are the midpoints of $\overline{AB}$ and $\overline{BC}$ respectively. Find the sum of the slope and $y$-intercept of the line passing through the points $C$ and $D.$
https://latex.artofproblemsolving.com/5/5/0/55002ffdc5d288b4984c4eba461a467dcced7760.png
+128474 Since D is the midpoint of AB it is the point ( 0, 3) ⇒ y intercept = 3
And the points (0,3) and (8,0) are on the line through CD
So.....its slope is [ 3 - 0 ] / [ 0 - 8 ] = -3/8
So.....the sum of the slope and y intercept of this line =
-3/8 + 3 =
[-3 + 24 ] / 8 =
21 / 8
