Question

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

Answer 1

Answer:

slope: -11/7

Step-by-step 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

Answer 2

Answer:

$m=-1\frac{4}{7}$

Step-by-step explanation:

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