Question

Compare the table and equation.

x y
1 3
2 6
3 9


Equation: y = 4x

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

Answer: The equation has the greatest slope.

Explanation:

We know that the slope of any linear function is given by

`Slope(m)=(y_2-y_1)/(x_2-x_1)`

So for given table, the slope is give by

`m_1=(6-3)/(2-1)=\3`

Also for linear equation
`y=mx+c`, m is the slope of the line.

So for equation
`y=4x`, the slope of line = 4.

Clearly 4>3.

therefore, the equation has greater slope .