Question

identify the slope and y - intercept of the line shown on each graph below. slope m = type your answer.. y - intercept b = type your answer.. 2 fill in the blank 1 point identify the slope and y - intercept of the line shown on each graph below.

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. Here, $(x_1,y_1)=(0,4)$ and $(x_2,y_2)=(2,-2)$.

Step2: Calculate the slope

$m=\frac{-2 - 4}{2-0}=\frac{-6}{2}=-3$.

Step3: Identify the y - intercept

The y - intercept is the y - coordinate of the point where the line crosses the y - axis. The line crosses the y - axis at the point $(0,4)$, so $b = 4$.

Answer:

Slope $m=-3$
y - intercept $b = 4$