Question

determine whether the lines $l_1$ and $l_2$ passing through the pairs of points are parallel, perpendicular, or neither.$l_1: (3, -1), (4, 2)LXB0circ$ parallel$circ$ perpendicular$circ$ neither

Explanation:

Step1: Calculate slope of $L_1$

Slope formula: $m_1=\frac{y_2-y_1}{x_2-x_1}=\frac{2-(-1)}{4-3}=\frac{3}{1}=3$

Step2: Calculate slope of $L_2$

Slope formula: $m_2=\frac{y_2-y_1}{x_2-x_1}=\frac{4-6}{7-1}=\frac{-2}{6}=-\frac{1}{3}$

Step3: Check parallel/perpendicular

Parallel: $m_1=m_2$? $3
eq-\frac{1}{3}$. Perpendicular: $m_1 \times m_2=-1$? $3\times(-\frac{1}{3})=-1$

Answer:

perpendicular