Question

25
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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

Answer:

$m = \frac{5}{7}$

$m_2 = \frac{5}{21}$

Step-by-step 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:

$m = \frac{y_2 - y_1}{x_2 - x_1}$

This gives:

$m = \frac{15 - 5}{21 - 7}$

$m = \frac{10}{14}$

Simplify:

$m = \frac{5}{7}$

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

This is calculated using:

$m_2 = \frac{1}{3} * m$

$m_2 = \frac{1}{3} * \frac{5}{7}$

$m_2 = \frac{5}{21}$

Answer 2

Answer:

7,5

Step-by-step explanation: