Question

write the linear equation that gives the rule for this table.
x | y
3 | 4
4 | 5
5 | 6
6 | 7
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., $(3,4)$ and $(4,5)$.
Slope formula: $m=\frac{y_2-y_1}{x_2-x_1}$
$m=\frac{5-4}{4-3}=1$

Step2: Find y-intercept (b)

Use $y=mx+b$, substitute $m=1$ and point $(3,4)$:
$4=1\times3+b$
Solve for b: $b=4-3=1$

Step3: Write linear equation

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

Answer:

$y=x+1$