Question

Given below are descriptions of two lines.Line 1: Goes through (12,30) and (-10,-14)Line 2: Goes through (-3,-4) and (-1,0)The slope of Line 1 is m= The slope of Line 2 is m= Finally, which of the following is true?Line 1 is parallel to Line 2.Line 1 is perpendicular to Line 2Line 1 is neither parallel nor perpendicular to Line 2

Answer 1

Line 1 is parallel to Line 2

1) Let's find the slope of each line and then check whether they are parallel, perpendicular, or neither.

2)

Line 1

$\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1}=\frac{-14-30}{-10-12}=\frac{-44}{-22}=2 \\ \end{gathered}$

Line 2

$m_2=\frac{y_2-y_1}{x_2-x_1}=\frac{0-(-4)}{-1-(-3)}=\frac{4}{2}=2$

3) Since these lines share the same slope, we can tell these lines are parallel