Question

a table of values of a linear function is shown below.

x	0	2	4	6
y	-1	-5	-9	-13

find the slope and y - intercept of the functions graph.
slope:

y - intercept:

Explanation:

Step1: Recall slope formula

The slope $m$ of a line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Let's take $(x_1,y_1)=(0,-1)$ and $(x_2,y_2)=(2,-5)$. Then $m=\frac{-5-(-1)}{2 - 0}=\frac{-5 + 1}{2}=\frac{-4}{2}=-2$.

Step2: Identify y - intercept

The y - intercept is the value of $y$ when $x = 0$. From the table, when $x = 0$, $y=-1$.

Answer:

slope: $-2$
y - intercept: $-1$