Do the points lie on the same line? Explain your answer.
P(1,4), Q(-2,3), R(-3,2)
To check if the points lie on the same line, we can calculate the slope between pairs of points.
The slope between P(1,4) and Q(-2,3) is given by:
m1 = (y2 - y1) / (x2 - x1) = (3 - 4) / (-2 - 1) = -1/3
The slope between Q(-2,3) and R(-3,2) is given by:
m2 = (y2 - y1) / (x2 - x1) = (2 - 3) / (-3 - (-2)) = -1
Since the slopes m1 and m2 are different, the points P, Q, and R do not lie on the same line.