Question

state the slope of each d. c. a. b.

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: For line A

Let's take two points on line A, say $(-10,0)$ and $(-5,2)$. Then $m_A=\frac{2 - 0}{-5-(-10)}=\frac{2}{5}$.

Step3: For line B

Take two points, e.g., $(-5,10)$ and $(0,12)$. Then $m_B=\frac{12 - 10}{0-(-5)}=\frac{2}{5}$.

Step4: For line C

Let's use points $(0, - 2)$ and $(5,0)$. Then $m_C=\frac{0-(-2)}{5 - 0}=\frac{2}{5}$.

Step5: For line D

Take points $(0,-5)$ and $(10,-10)$. Then $m_D=\frac{-10-(-5)}{10 - 0}=\frac{-5}{10}=-\frac{1}{2}$.

Answer:

The slope of line A is $\frac{2}{5}$, the slope of line B is $\frac{2}{5}$, the slope of line C is $\frac{2}{5}$, the slope of line D is $-\frac{1}{2}$.