Question

a table of values of a linear function is shown below.
find the y - intercept and slope of the functions graph.
y - intercept:
slope:

Explanation:

Step1: Recall slope - formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Let's take two points from the table, say $(x_1,y_1)=(0,2)$ and $(x_2,y_2)=(3,6)$.

Step2: Calculate the slope

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

Step3: Recall y - intercept definition

The y - intercept is the value of y when $x = 0$. From the table, when $x = 0$, $y=2$.

Answer:

y - intercept: $2$
slope: $\frac{4}{3}$