Question

write the linear equation that gives the rule for this table.
x | y
5 | 18
6 | 19
7 | 20
8 | 21
write your answer as an equation with y first, followed by an equals sign.

Explanation:

Step1: Calculate slope (m)

Slope formula: $m = \frac{y_2 - y_1}{x_2 - x_1}$
Use points (5,18) and (6,19):
$m = \frac{19 - 18}{6 - 5} = \frac{1}{1} = 1$

Step2: Find y-intercept (b)

Use $y = mx + b$, substitute $m=1$, $x=5$, $y=18$:
$18 = 1(5) + b$
Solve for b: $b = 18 - 5 = 13$

Step3: Write linear equation

Substitute $m=1$ and $b=13$ into $y = mx + b$:
$y = x + 13$

Answer:

$y = x + 13$