Question

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

x	-1	0	1	2	3
y	6	8	10	12	14

find the slope and y - intercept of the functions graph, and find the equation for the function.
slope:

y - intercept:

equation:

Explanation:

Step1: Calculate the slope

Choose two points, e.g., $(-1,6)$ and $(0,8)$. Use slope formula $m=\frac{y_2-y_1}{x_2-x_1}$
$\frac{8-6}{0-(-1)}=\frac{2}{1}=2$

Step2: Identify y-intercept

The y-intercept is the $y$-value when $x=0$. From the table, when $x=0$, $y=8$.

Step3: Write linear equation

Use slope-intercept form $y=mx+b$, where $m=2$, $b=8$.
$y=2x+8$

Answer:

slope: $2$
y-intercept: $8$
equation: $y=2x+8$