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

Case: Slope

Method:

a) The slope of Line 1 is m:

(2, 18) (0, 8)

`\begin{gathered} m=(y_2-x_1)/(x_2-x_1) \\ m=(18-8)/(2-0) \\ m=(10)/(2) \\ m=5 \end{gathered}`

b) The slope of Line 2 is m:

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

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

Line 1 is parallel to Line 2