Question

Find the slope of each line that passes through each pair of points The points (3, 5) and (-2, 10) lie on a line. The points P (5,-7), Q (-2,-7) lie on a straight line

Answer 1

1. m = -1
2. m = 0

Explanation:

1.

`\mathrm{Slope}=(y_2-y_1)/(x_2-x_1)\\\\\left(x_1,\:y_1\right)=\left(3,\:5\right),\:\left(x_2,\:y_2\right)=\left(-2,\:10\right)\\\\m=(10-5)/(-2-3)\\\\m=(5)/(-5)\\\\simplify\\\\m=-1`

2.

`\mathrm{Slope}=(y_2-y_1)/(x_2-x_1)\\\\\left(x_1,\:y_1\right)=\left(5,\:-7\right),\:\\\left(x_2,\:y_2\right)=\left(-2,\:-7\right)\\\\m=(-7-\left(-7\right))/(-2-5)\\\\m=(-7+7)/(-7) \\\\m = (0)/(7)\\\\Simplify\\\\m =0`