Question

in each graph. 2. slope m = __________ y - intercept b = __________

Explanation:

Step1: Identify two points on the line

The line passes through points $(0, 2)$ and $(4,0)$.

Step2: Calculate the slope $m$

Use the slope - formula $m=\frac{y_2 - y_1}{x_2 - x_1}$. Here, $(x_1,y_1)=(0,2)$ and $(x_2,y_2)=(4,0)$. So $m=\frac{0 - 2}{4-0}=-\frac{2}{4}=-\frac{1}{2}$.

Step3: Determine the y - intercept $b$

The y - intercept is the y - coordinate of the point where the line crosses the y - axis. The line crosses the y - axis at $(0,2)$, so $b = 2$.

Answer:

slope $m=-\frac{1}{2}$
y - intercept $b = 2$