Question

The scatter plot shows the average weights of children at a pediatrics clinic. Write an equation for the trend line, using the points (5,40) and (0,10).

Answer 1

Given:

The points are (5,40) and (0,10).

To find:

The equation for the trend line using the given points.

Solution:

If a line passes through two points, then the equation of the line is:

`y-y_1=(y_2-y_1)/(x_2-x_1)(x-x_1)`

Two points are (5,40) and (0,10). So, the equation of trend line is

`y-40=(10-40)/(0-5)(x-5)`

`y-40=(-30)/(-5)(x-5)`

`y-40=6(x-5)`

`y-40=6x-30`

Adding 40 on both sides, we get

`y=6x-30+40`

`y=6x+10`

Therefore, the equation of trend line is
`y=6x+10`.