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

Answer:

1. m = -1
2. m = 0

Step-by-step explanation:

1.

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

2.

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