Question

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

Answer 1

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

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

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)=(y_2-y_1)/(x_2-x_1)=(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.