Question

identify the slope and y - intercept of the line below. slope = y - intercept =

Explanation:

Step1: Select two points

Let the two points on the line be $(0, 8)$ and $(1,4)$.

Step2: Calculate the slope

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Substituting the points $(x_1,y_1)=(0,8)$ and $(x_2,y_2)=(1,4)$ gives $m=\frac{4 - 8}{1-0}=\frac{-4}{1}=- 4$.

Step3: Determine the y - intercept

The y - intercept is the y - value when $x = 0$. From the point $(0,8)$, the y - intercept $b = 8$.

Answer:

slope = -4
y - intercept = 8