Question

Which statement would best describe the graph of the function

Answer 1

A; The graph has a slope of 6.

Explanation:

A; True

B; The y value changes with the x

C; Has a steady slope of 6

D; You cant tell if this is a parabola

Answer 2

The graph is a straight line that has a slope of 6.

Explanation:

Remember that the slope represents the constant ratio of variation. In other words, is the number that variates the relation between variable.

So, the given table represents a proportional relationship, because you can observe that x-variable changes one unit, while y-variable changes 6 units. In other words, while y-variable changes 6 units, x-variable changes 1 unit, that's a proportional relationship, and its ratio is

`m=(y)/(x)=(6)/(1)=6`

This means the proportional relationship has a slope of 6.

Therefore, the right answer is the first choice.

Remember that proportional relationships are represented by a straight line, where the slope is the constant of variation.