Question

write the linear equation that gives the rule for this table.

x | y
5 | 23
6 | 24
7 | 25
8 | 26

write your answer as an equation with y first, followed by an equals sign.

Explanation:

Step1: Calculate slope $m$

Choose two points, e.g., $(5,23)$ and $(6,24)$.
$m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{24-23}{6-5} = 1$

Step2: Find y-intercept $b$

Use $y=mx+b$, substitute $m=1$, $x=5$, $y=23$.
$23 = 1\times5 + b$
$b = 23 - 5 = 18$

Step3: Form linear equation

Substitute $m=1$ and $b=18$ into $y=mx+b$.
$y = 1x + 18$ or $y = x + 18$

Answer:

$y = x + 18$