Question

A line contains the points (6, 8) and (1,-2).

What is the slope of the line in simplified form?

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Answer 1

2

Explanation:

Answer 2

The slope of the line is two.

Explanation:

Recall that to find the slope between any two points, we can use the slope formula:

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

Let (6, 8) be our (x₁, y₁) and let (1, -2) be our (x₂, y₂). Substitution yields:

`\displaystyle m=((-2)-(8))/((1)-(6))`

Subtract:

`\displaystyle m=(-10)/(-5)`

Divide:

`m=2`

Therefore, the slope of the line is two.