Question

On the line that passes through point C, mark a point D that is distinct from point C. Use the slope formula along with coordinates of points to find the slopes of and . Show your work.

Answer 1

Answer: The slope of line AB and DC is -2.

Explanation:

Answer 2

The coordinates of point D will vary based on the point location, but the resulting slope of the line through points C and D will be the same.

A = (-3, 3), B = (-1,-1)

Slope of AB = (YB−YA) / ( XB –XA) =−1−3 / −1−(−3)= − 4 / 2= −2

D = (-1,6), C = (1,2)

Slope of DC = (YC−YD) / (XC−XD)= 2 – 6 / 1−(−1)=−4 / 2=−2

Explanation: