Question

identify the line that has each slope.
(a) $m = \frac{-3}{4}$
$\bigcirc$ $l_1$
$\bigcirc$ $l_2$
$\bigcirc$ $l_3$
(b) $m = 1$
$\bigcirc$ $l_1$
$\bigcirc$ $l_2$
$\bigcirc$ $l_3$
(c) $m = 0$
$l_1$
$l_2$
$l_3$

Explanation:

Step1: Analyze negative slope

A negative slope means the line decreases from left to right. $m=-\frac{3}{4}$ is negative, so this matches $L_1$.

Step2: Analyze positive slope $m=1$

A positive slope means the line increases from left to right. A slope of 1 means the line rises equally as it runs, which matches $L_3$.

Step3: Analyze slope $m=0$

A slope of 0 means the line is horizontal, which matches $L_2$.

Answer:

(a) $L_1$
(b) $L_3$
(c) $L_2$