Question

What is the slope of the line which passes through (4,7) and (2,3)

Answer 1

A. 2

Explanation:

To solve this problem, first you have to use the slope formula of
`\displaystyle (y_2-y_1)/(x_2-x_1)=(rise)/(run)`.

y2=3

y1=7

x2=2

x1=4

Solve.

`\displaystyle (3-7)/(2-4)=(-4)/(-2)=2`

As a result, the slope is 2.

Hope this helps!

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Answer 2

`\bf (\stackrel{x_1}{4}~,~\stackrel{y_1}{7})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{3}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{3-7}{2-4}\implies \cfrac{-4}{-2}\implies 2`