Question

Please Help. I need an answer ASAP.

Answer 1

Given:

The table of values.

To find:

The relationship between the two variables and find the equation.

Solution:

Slope formula:

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

Using the lope formula, we get

`(6-1)/(1-0)=5`

`(11-6)/(2-1)=5`

`(16-11)/(3-2)=5`

`(21-16)/(4-3)=5`

`(26-21)/(5-4)=5`

The slope is constant, i.e., 5. It means the relationship between the two variables x and y is linear with slope 5.

It means the value of y increases by 5 as the value of x increases by 1.

The equation of the line is:

`y=mx+b` ...(i)

Where, m is the slope and b is the y-intercept.

A point of linear relationship is (0,1). It means the y-intercept is 1.

Putting
`m=5,b=1` in (i), we get

`y=5x+1`

Therefore, the required equation is
`y=5x+1`.