Question

Compare the table and equation.

x y
4 12
5 15
6 18

Equation: y = 3x

Which representation has the greatest slope?

The equation has the greatest slope.
The table has the greatest slope.
The table and equation have the same slope.
Their slopes cannot be determined.

Answer 1

the table and equation have the same slope

Explanation:

took the test and got a 100% :)

Answer 2

The table and equation have the same slope

Explanation:

we know that

The formula to calculate the slope between two points is equal to

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

Step 1

Find the slope of the table

we have

`A(4,12)\ B(5,15)`

Substitute the values

`m=(15-12)/(5-4)`

`m=(3)/(1)=3`

Step 2

Find the slope of the equation

we have

`y=3x` ------> the equation represent a linear direct variation

The slope is equal to
`m=3`

therefore

The table and equation have the same slope