Question

Compare the table and equation.

Answer 1

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,

$m = \frac{y_1-y_2}{x_1-x_2}$
We substitute the values to obtain,

$m = \frac{10 - 15}{2 - 3}$
We simplify to get,

$m = \frac{-5}{ - 1} = 5$
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.

Answer 2

Looking at the table you can see the Y goes up by 5 for each y. In the equation, the slope is only 4.5. The table has the greater slope.