Question

complete the statements the slope of line n is zero the slope of line w is the slope of line q 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: For Line N (assuming we can identify two points)

If Line N is a horizontal line, for any two points $(x_1,y_1)$ and $(x_2,y_2)$ on it, $y_1=y_2$. So $m_N=\frac{y_2 - y_1}{x_2 - x_1}=\frac{0}{x_2 - x_1}=0$.

Step3: For Line W (assume two points $(x_1,y_1)$ and $(x_2,y_2)$)

Suppose we have two points on Line W: $(x_1,y_1)$ and $(x_2,y_2)$. If we observe the graph and find that for example, when $x$ increases by 1 unit, $y$ increases by 1 unit. Let $(x_1,y_1)=(0, - 2)$ and $(x_2,y_2)=(1,-1)$. Then $m_W=\frac{-1-(-2)}{1 - 0}=\frac{-1 + 2}{1}=1$.

Step4: For Line Q (assume two points $(x_1,y_1)$ and $(x_2,y_2)$)

Let's take two points on Line Q, say $(x_1,y_1)=(0,0)$ and $(x_2,y_2)=(2,-2)$. Then $m_Q=\frac{-2-0}{2 - 0}=\frac{-2}{2}=-1$.

Answer:

The slope of Line N is 0.
The slope of Line W is 1.
The slope of Line Q is - 1.