find the equation of the linear function represented by the table below in slope - intercept form.\nanswer…

Explanation:

Step1: Calculate the slope

The slope $m$ formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Let $(x_1,y_1)=(1,7)$ and $(x_2,y_2)=(2,12)$. Then $m=\frac{12 - 7}{2 - 1}=\frac{5}{1}=5$.

Step2: Find the y - intercept

The slope - intercept form is $y = mx + b$. Substitute $m = 5$, $x = 1$ and $y = 7$ into the equation: $7=5\times1 + b$. Solving for $b$, we get $b=7 - 5=2$.

Answer:

$y = 5x+2$