Question

Find the slope for (3,−1) and (4,7).

Answer 1

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Answer 2

To find the slope you would use the slope formula since you have two point coordinates. The slope formula is:

$\dfrac{\text{y}_2-\text{y}_1}{\text{x}_2-\text{x}_1}$, where y₂ and y₁ are the y coordinates of the two points and x₂ and x₁ are the x coordinates of the two points.

Substitute in 7 and -1 for y₂ and y₁; substitute in 4 and 3 for x₂ and x₁. Now your expression should look like:

$\dfrac{7-(-1)}{4-3}$

Subtract -1 from 7, which is basically the same as 7 + 1. Then subtract 3 from 4. Once you complete these steps you can rewrite your fraction.

$\dfrac{7+1}{4-3} =\dfrac{8}{1} =8$

The final answer is 8 after substituting the appropriate coordinates into the slope formula. This means that the slope of the line passing through the points (3, -1) and (4, 7) is 8.

The answer is: the slope of the line is 8.