Question

What is the slope of a line with the coordinates (7,42) and (12,72)

Answer 1

Slope

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Let's solve the problem given to us today! The problem is the following:

`\mapsto\quad\textbf{Find the slope of (7,42) and (12,72).}`

We need to find the slope of the line passing through these two points.

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Use the slope formula to find the slope.

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The slope formula is,

`\mapsto\quad\bf{m=\cfrac{y_2-y_1}{x_2-x_1}}`

Substitute the values:

`\mapsto\quad\bf{m=\cfrac{72-42}{12-7}}`

`\mapsto\quad\bf{m=\cfrac{30}{5}}`

`\mapsto\quad\bf{m=6}`

Therefore, m = 6.

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Answer 2

Answer: 6

Work Shown

`(x_1,y_1) = (7,42) \text{ and } (x_2,y_2) = (12,72)\\\\m = \text{slope} = \frac{\text{rise}}{\text{run}} = \frac{\text{change in y}}{\text{change in x}}\\\\m = \frac{\text{y}_(2) - \text{y}_(1)}{\text{x}_(2) - \text{x}_(1)}\\\\m = (72 - 42)/(12 - 7)\\\\m = (30)/(5)\\\\m = 6\\\\`