Question

The slope of the line that passes through the points (5, 10) and (2, 12) is?

Answer 1

`\boxed{\sf m=-\cfrac{2}{3}}`

Explanation:

In order to fins the slope we can either use the slope formula m = (y_2-y1)/(x2 – x1) or the standard line equation, y = mx + b to solve for the slope, m.

Using two points on the line, we can find the slope by finding the rise and the run

Slope formula :-

`\boxed{\sf m=\cfrac{rise}{run} =\cfrac{y_2-y_1}{x_2-x_1}}`

`\sf \left(x_1,\:y_1\right):\left(5,\:10\right)`

`\sf \left(x_2,\:y_2\right):\left(2,\:12\right)`

`\sf m=\cfrac{12-10}{2-5}`

`\sf m=-\cfrac{2}{3}`