Question

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

x | y
4 | 3
5 | 4
6 | 5
7 | 6

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

Explanation:

Step1: Calculate slope $m$

Choose two points, e.g., $(4,3)$ and $(5,4)$.
$m=\frac{y_2-y_1}{x_2-x_1}=\frac{4-3}{5-4}=1$

Step2: Find y-intercept $b$

Use $y=mx+b$, substitute $m=1$, $x=4$, $y=3$.
$3=1\times4+b$
Solve for $b$: $b=3-4=-1$

Step3: Form linear equation

Substitute $m=1$, $b=-1$ into $y=mx+b$.
$y=x-1$

Answer:

$y=x-1$