Question

find the equation of the linear function represented by the table below in slope - intercept form

Explanation:

Step1: Calculate the slope

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Let $(x_1,y_1)=(1,1)$ and $(x_2,y_2)=(2,5)$. Then $m=\frac{5 - 1}{2 - 1}=\frac{4}{1}=4$.

Step2: Find the y - intercept

The slope - intercept form is $y=mx + b$. Substitute $m = 4$, $x = 1$ and $y = 1$ into the equation: $1=4\times1 + b$. Solve for $b$: $b=1 - 4=-3$.

Answer:

$y = 4x-3$