Question

4.3.5 stepping stones given the following graph, determine the slope of each line. the slope of ( l_1 ) is . the slope of ( l_2 ) is .

Explanation:

Step1: Recall slope - formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$, where $(x_1,y_1)$ and $(x_2,y_2)$ are two points on the line.

Step2: Find two points on $l_1$

For line $l_1$, we can choose the points $(0, - 4)$ and $(4,0)$.

Step3: Calculate slope of $l_1$

$m_1=\frac{0-( - 4)}{4 - 0}=\frac{4}{4}=1$.

Step4: Find two points on $l_2$

For line $l_2$, we can choose the points $(0,0)$ and $(4,-4)$.

Step5: Calculate slope of $l_2$

$m_2=\frac{-4 - 0}{4 - 0}=\frac{-4}{4}=-1$.

Answer:

The slope of $l_1$ is $1$. The slope of $l_2$ is $-1$.