Question

two points are given from each of two - lines (l_1) and (l_2). without graphing the points, determine if the lines are parallel, perpendicular, or neither. express numbers as integers or simplified fractions. select undefined if applicable.
(l_1:(2,0)) and ((5,2))
(l_2:(-2,4)) and ((1, - 2))
part 1 of 3
the slope of (l_1) is (\frac{2}{3}).
part 2 of 3
the slope of (l_2) is (-2).
part 3 of 3
thus, by comparing the slopes, the lines are select

Explanation:

Step1: Recall slope - comparison rules

If two lines $L_1$ and $L_2$ have slopes $m_1$ and $m_2$, they are parallel if $m_1 = m_2$, perpendicular if $m_1\times m_2=- 1$, and neither if neither of these conditions hold.
We have $m_1=\frac{2}{3}$ and $m_2 = - 2$.

Step2: Calculate the product of the slopes

Calculate $m_1\times m_2=\frac{2}{3}\times(-2)=-\frac{4}{3}
eq - 1$. Also, $\frac{2}{3}
eq - 2$.

Answer:

Neither