Question

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 ???

Answer 1

here you go

View the picture for your answer!

have a wonderful day :))

Answer 2

(21,5)

Explanation:

To find the slope that passes through the points (7,5) and (21,15) , we use the formula

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

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

= 10/14

=5/7

We want a slope that is 1/3 this slope so we will multiply by 1/3

5/7 * 1/3= 5/21

We know the slope and one point (0,0) we can use the same formula to figure out x and y

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

5/21 = (y2-0)/ (x2-0)

Let the tops be equal and the bottoms be equal

5 = y2-0

5 =y2

and the bottoms

21 = x2-0

21= x2

We have the point

(21,5)