Question
In Exercises 63-66, determine whether the lines $L_1$ and $L_2$ passing through the pairs of points are parallel, perpendicular, or neither.$\begin{aligned} & L_1:(0,-1),(5,9) \\ & L_2:(0,3),(4,1)\end{aligned}$
Step 1
The slope formula is given by $m = \frac{y_2 - y_1}{x_2 - x_1}$. For $L_1$, using points $(0, -1)$ and $(5, 9)$, the slope $m_1$ is: \[ m_1 = \frac{9 - (-1)}{5 - 0} = \frac{9 + 1}{5} = \frac{10}{5} = 2. \] Show more…
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