Question

don’t mind this my question has to be at least 20 characters long

Answer 1

Answer:

B.  The equation of the linear function is y = 3x + 2

D.  The rate of change of the linear function is 3.

Step-by-step explanation:

First find the slope by choosing two ordered pairs and using the slope formula:

$\textsf{let}\:(x_1,y_1)=(2,8)$

$\textsf{let}\:(x_2,y_2)=(3,11)$

$\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{11-8}{3-2}=3$

Now use the Point-slope form of linear equation with the found slope and one of the points to create the equation of the linear function:

$y-y_1=m(x-x_1)$

$\implies y-8=3(x-2)$

$\implies y=3x + 2$

The rate of change of a linear function is its slope.

Therefore,

B.  The equation of the linear function is y = 3x + 2

D.  The rate of change of the linear function is 3.