Question

25

Select the correct answer from each drop-down menu.
The slope of the line passing through the points (7,5) and (21, 15) is 5/7
Another line with a slope that is one-third that of the slope you just calculated passes through the origin and tl
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Answer 1

7,5

Explanation:

Answer 2

`m = (5)/(7)`

`m_2 = (5)/(21)`

Explanation:

Given

`(x_1,y_1) = (7,5)`

`(x_2,y_2) = (21,15)`

Using the available details, the solution goes thus:

Solving (a): The slope (m) of this line:

`m = (y_2 - y_1)/(x_2 - x_1)`

This gives:

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

`m = (10)/(14)`

Simplify:

`m = (5)/(7)`

Solving (b): Another line with 1/3 of the slope.

This is calculated using:

`m_2 = (1)/(3) * m`

`m_2 = (1)/(3) * (5)/(7)`

`m_2 = (5)/(21)`