The slope of the line passing through the points (7, 5) and (21, 15) is .

Another line with a slope that is one-third that of the slope you just calculated passes through the origin and the point
(21, 5)
.

Step-by-step explanation:

a) The slope formula is given by

m = (y2 - y1)/(x2 - x1)

Let P1(7, 5) and P2(21, 15)

m = (15 - 5)/(21 -7)

= 10/14

= 5/7

b) Let's see if the slope is only a third of the one found in part (a) or m = 5/21. Let P1(0, 0) and P2(21, 5).

m = (5 -0)/(21 - 0)

= 5/21

Indeed, the slope is only a third of part (a), as we predicted.

the science club has 42 people and the robotics club has 33

step-by-step explanation:

by definition, an arc subtended by a central angle of some given measure has the same measure. so .