While finding the slope of a line that goes through the points (6, 5) and (3, 7), Gloria figured that slope y = -2 and slope x = 3 without graphing.

Explain how Gloria could find the slope triangle without graphing. Draw a sketch of the line and validate her method.

Question

While finding the slope of a line that goes through the points (6, 5) and (3, 7), Gloria figured that slope y = -2 and slope x = 3 without graphing.

Explain how Gloria could find the slope triangle without graphing. Draw a sketch of the line and validate her method.

anonymous · Answer

Formula for slope: $$y _{2} - y _{1} \over x_{2} - x_{1} $$
So you would have $$7 - 5 \over 3 - 6$$
which becomes $$- 2 \over 3$$