​(a) Find the slope of the line through and . ​(b) Based on the​ slope.

Question

​(a) Find the slope of the line through

(−16,−9)

and

(−8,31).

​(b) Based on the​ slope, indicate whether the line through the points rises from left to​ right, falls from left to​ right, is​ horizontal, or is vertical.

Answer 1

(-16,-9), (-8, 31)

slope = difference in y coordinates divided by

the difference in corresponding x coordinates

= (31+9)/(-8+16) = 40/8 = 5 = the slope

it rises (rapidly) left to right. It helps to plot the two points

and connect them with a straight line