Question

Find the slope of the line given the following points on the line:

(-6, 4) and 2, 7)

Answer 1

3/8

Explanation:

Answer 2

`\boxed{\sf Slope:3/8}`

Explanation:

To determine the slope of a line given the coordinates of two points on the line, use the slope formula.

`\boxed{\sf \sf{Slope\;(m)}=(y_2-y_1)/(x_2-x_1)}`

x1 and y1 are the coordinates of the first point. The second point's coordinates are x2, y2.

Points:
`\sf (-6, 4) \:and \:(2, 7)`

`\longmapsto\sf \left(x_1,\:y_1\right):\left(-6,\:4\right)`

`\longmapsto\sf \left(x_2,\:y_2\right)=\left(2,\:7\right)`

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`\leadsto\sf m=\cfrac{7-4}{2-\left(-6\right)}`

`\leadsto\sf m=\cfrac{3}{8}`

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