Question

determine whether the lines $l_1$ and $l_2$ passing through the pairs
$l_1:(0, - 2),(3,4)$
$l_2:(0,7),(4,5)$
step 1
first find the slope, $\frac{y_2 - y_1}{x_2 - x_1}$, of line $l_1$.
$l_1:(0, - 2),(3,4)$
slope of $l_1:m=\frac{4+square}{square-square}$
simplify the slope.
$m = square$

Explanation:

Step1: Identify points for $L_1$

Let $(x_1,y_1)=(0, - 2)$ and $(x_2,y_2)=(3,4)$.

Step2: Calculate slope of $L_1$

Using the slope - formula $m=\frac{y_2 - y_1}{x_2 - x_1}$, we have $m=\frac{4-(-2)}{3 - 0}=\frac{4 + 2}{3-0}=\frac{6}{3}=2$.

Answer:

2