Question

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

x	y
0	50
1	66
2	82
3	98

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

Explanation:

Step1: Find the slope

The slope $m$ of a linear - equation $y = mx + b$ is given by $m=\frac{y_2 - y_1}{x_2 - x_1}$. Let $(x_1,y_1)=(0,50)$ and $(x_2,y_2)=(1,66)$. Then $m=\frac{66 - 50}{1-0}=16$.

Step2: Find the y - intercept

The y - intercept $b$ is the value of $y$ when $x = 0$. From the table, when $x = 0$, $y = 50$, so $b = 50$.

Step3: Write the linear equation

Substitute $m = 16$ and $b = 50$ into the slope - intercept form $y=mx + b$. We get $y=16x + 50$.

Answer:

$y = 16x+50$