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=(y_2-y_1)/(x_2-x_1)=(-14-30)/(-10-12)=(-44)/(-22)=2 \\ \end{gathered}`

Line 2

`m_2=(y_2-y_1)/(x_2-x_1)=(0-(-4))/(-1-(-3))=(4)/(2)=2`

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