Question

05.01)

Compare the table and equation
ху
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 slepe.
The table and equation have the same slope.
Their slopes cannot be determined.

Answer 1

The table and equation have the same slope.

Explanation:

Table :

х у

4 12

5 15

6 18

`(x_1,y_1)=(4,12)\\(x_2,y_2)=(5,15)`

`Slope = (y_2-y_1)/(x_2-x_1)\\Slope = (15-12)/(5-4)\\Slope = 3`

Given equation : y = 3x

General equation: y=mx+c

Where m is the slope

So, On comparing

So, Slope = m =3

Hence The table and equation have the same slope.