Question

The first picture is the one we need to answer. The second one is a shown picture of the different answers we can choose. I need some help on it.

Answer 1

The equation of a linear function is given by the following general form:

y = mx + b

Where m is the slope of the line and is given by the following formula:

`m=(y2-y1)/(x2-x1)`

Where (x1, y1) and (x2, y2) are two points of the function. In this case, we can take points (3, 0) and (4, 6) from the table, then we get:

`m=(6-0)/(4-3)=(6)/(1)=6`

With m = 6 we can rewrite the equation like this:

y = 6x + b

By replacing another point, like (5, 12), we get:

12 = 6(5) + b

12 = 30 + b

12 - 30 = 30 - 30 + b

-18 = b

b = -18

Then, the equation of the linear function can be written like this:

h(x) = 6x - 18