what is the function rule for the linear function in this table?\nslope-intercept form\n$y = mx + b$\n

Answer:

$y = 3x+8$

Explanation:

Step1: Find the slope (m)

Use the formula (m=\frac{y_2 - y_1}{x_2 - x_1}). Take ((x_1,y_1)=(0,8)) and ((x_2,y_2)=(1,11)). Then (m=\frac{11 - 8}{1-0}=3).

Step2: Find the (y -)intercept (b)

The slope - intercept form is (y = mx + b). When (x = 0), (y=b). From the table, when (x = 0), (y = 8), so (b = 8).

Step3: Write the function rule

Substitute (m = 3) and (b = 8) into (y=mx + b). We get (y=3x + 8).