Question

Find the slope of the line that passes through the ordered pairs (-2,8) and (-9,19)

Answer 1

`m=-1(4)/(7)`

Explanation:

`\mathrm{Slope}=(y_2-y_1)/(x_2-x_1)\\\\\left(x_1,\:y_1\right)=\left(-2,\:8\right),\:\\\left(x_2,\:y_2\right)=\left(-9,\:19\right)\\\\m=(19-8)/(-9-\left(-2\right))\\\\m=(11)/(-9+2)\\\\m=(11)/(-7) \\\\m=-(11)/(7)\\\\m=-1(4)/(7)`

Answer 2

slope: -11/7

Explanation:

Slope is equal to the change in yy over the change in xx, or rise over run.

m=change in ychange in xm=change in ychange in x

The change in xx is equal to the difference in x-coordinates (also called run), and the change in yy is equal to the difference in y-coordinates (also called rise).

m=y2−y1x2−x1m=y2-y1x2-x1

Substitute in the values of xx and yy into the equation to find the slope.

m=19−(8)−9−(−2)m=19-(8)-9-(-2)

Simplify.

m=−11/7