Question

Line 1: Goes through (2,18) and (0,8)Line 2: Goes through (-9,-40) and (-13,-60)The slope of Line 1 is m= The slope of Line 2 is m= Finally, which of the following is true?A. Line 1 is parallel to Line 2.B. Line 1 is perpendicular to Line 2C. Line 1 is neither parallel nor perpendicular to Line 2

Answer 1

SOLUTION:

Case: Slope

Method:

a) The slope of Line 1 is m:

(2, 18) (0, 8)

$\begin{gathered} m=\frac{y_2-x_1}{x_2-x_1} \\ m=\frac{18-8}{2-0} \\ m=\frac{10}{2} \\ m=5 \end{gathered}$

b) The slope of Line 2 is m:

(-9, -40) (-13, -60)

$\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{-60-(-40)}{-13-(-9)} \\ m=\frac{-60+40}{-13+9} \\ m=\frac{-20}{-4} \\ m=5 \end{gathered}$

Line 1 is parallel to Line 2