Question

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

x | y
5 | 27
6 | 36
7 | 45
8 | 54

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

Explanation:

Step1: Calculate slope $m$

Slope formula: $m=\frac{y_2-y_1}{x_2-x_1}$. Use $(5,27)$ and $(6,36)$:
$m=\frac{36-27}{6-5}=\frac{9}{1}=9$

Step2: Find y-intercept $b$

Use $y=mx+b$, substitute $m=9$, $x=5$, $y=27$:
$27=9\times5+b$
$27=45+b$
$b=27-45=-18$

Step3: Form linear equation

Substitute $m=9$, $b=-18$ into $y=mx+b$:
$y=9x-18$

Answer:

$y=9x-18$