The endpoints of CD are C(–8, 4) and D(6, –6). What are the coordinates of point P on CD such that P is the length of the line segment from D? (–2.75, 0.25) (–5, 2.5) (0.75, –2.25) (3.75, –3.75)
If you graph the end points C and D then graph the 4 points at the end it is difficult to tell which points are on CD without a line. Using the endpoints find the slope (change in y/ change in x) then substitute a point in to find the intercept. Slope = (-6-4)/(6- -8) = -5/7 Intercept equation (-6) = -5/7 (6) + b b = -1.71428571429 Graphing the line shows only 2 points on the line (–2.75, 0.25) and (0.75, –2.25) I am confused by the part, "P is the length of the line segment from D". Were you given a length P to help you determine which point. Using the distance formula to find the length from each point to D doesn't help determine which one is best with the information you have given. The image shows the distances I calculated and the graphed points. I hope this helps!
