Question

Compare the table and equation.

x y
2 10
3 15
4 20


Equation: y = 4.5x

Which representation has the greatest slope?
the equation has the greatest slope
the table has the greatest slope
the table and equation has the same slope
their slope cannot be determine

Answer 1

the table because its slope is 5, whereas the equation slope is 4.5

Explanation:

Answer 2

ANSWER

The table has the greater slope?

EXPLANATION

From the given table we can use any two ordered pairs to find the slope.

From the table, when


`x_1=2,y_1=10`

when


`x_2=3,y_2=15`

The slope formula is given by,


`m = (y_1-y_2)/(x_1-x_2)`
We substitute the values to obtain,


`m = (10 - 15)/(2 - 3)`
We simplify to get,


`m = (-5)/( - 1) = 5`
As for the given equation


`y=4.5x`

the slope is

`m= 4.5`

Comparing the two slopes, we can see that,


`5\:>\:4.5`


Therefore the table has the greater slope.