Question

The points (15,36) and (30,72) form a proportional relationship. Find the slope of the line through

the points. Then use the slope to graph the line.
The slope is
(Simplify your answer.)

Answer 1

`(18)/(5)`

Explanation:

Given coordinates;

(15,36) and (30,72)

Unknown:

Slope of the line = ?

Solution:

(15,36) and (30,72);

Slope is the rise divided by the run. To find the slope, we use the expression below;

Slope =
`(y_(2) - y_(1) )/(x_(2) - x_(1) )`

y₁ = 36

y₂ = 72

x₁ = 15

x₂ = 30

Insert the parameters and solve;

Slope =
`(72 - 36 )/(30 -15)` =
`(36 )/(15)`

Slope =
`(18)/(5)`