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
[tex]x_1=2,y_1=10[/tex]
when
[tex]x_2=3,y_2=15[/tex]
The slope formula is given by,
[tex]m = \frac{y_1-y_2}{x_1-x_2} [/tex]
We substitute the values to obtain,
[tex]m = \frac{10 - 15}{2 - 3} [/tex]
We simplify to get,
[tex]m = \frac{-5}{ - 1} = 5[/tex]
As for the given equation
[tex]y=4.5x[/tex]
the slope is
[tex] m= 4.5[/tex]
Comparing the two slopes, we can see that,
[tex]5\:>\:4.5[/tex]
Therefore the table has the greater slope.
