Question

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

x	y
4	62
5	66
6	70

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

Explanation:

Step1: Find the slope (m)

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Let $(x_1,y_1)=(3,58)$ and $(x_2,y_2)=(4,62)$. Then $m=\frac{62 - 58}{4 - 3}=\frac{4}{1}=4$.

Step2: Find the y - intercept (b)

Use the point - slope form $y=mx + b$ and substitute $m = 4$, $x = 3$ and $y = 58$. So $58=4\times3 + b$. Then $58 = 12 + b$, and $b=58 - 12=46$.

Answer:

$y = 4x+46$