Question

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 $l_1$: $m=\frac{4 + 2}{3-0}$
simplify the slope.
$m = 2$
step 2
next find the slope of line $l_2$.
$l_2$: $(0,7),(4,5)$
slope of $l_2$: $m=\frac{5-\text{blank}}{\text{blank}-\text{blank}}$
simplify the slope.
$m=\text{blank}$
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write equations of the lines through the given point parallel to and pe
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Explanation:

Step1: Identify the slope - formula values

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. For line $L_2$ with points $(x_1,y_1)=(0,7)$ and $(x_2,y_2)=(4,5)$, we substitute $y_1 = 7$, $x_1=0$, $y_2 = 5$, $x_2 = 4$ into the formula. So $m=\frac{5 - 7}{4-0}$.

Step2: Simplify the slope expression

Calculate the numerator $5 - 7=-2$ and the denominator $4 - 0 = 4$. Then $m=\frac{-2}{4}=-\frac{1}{2}$.

Answer:

$m =-\frac{1}{2}$