Question

Please helppp...

Which function BEST expresses the linear relationship displayed by the scatter plot

A)y= X +10

B) Y = X +19

C) y= 10x +19

D) y= 19x + 10

Answer 1

A

Explanation:

Answer 2

Option A is correct

The linear relationship displayed by the scatter plot is; y=x+10

Explanation:

Scatter plot states that a set of points that represent data.

To determine the best equation for a set of points from the given figure.

In general, you can use these steps as follows:

• First sketch the line that appears to most closely follow the data.

and also try to have the same number of points above and below the line.

• You can choose two points on the line and estimate their coordinates.
• Then, find the equation of the line that passes through the two points

To find the equation of linear relationship that displayed by the scatter plot

Using Slope-intercept form:

For any two points
`(x_1, y_1)` and
`(x_2, y_2)` the equation of line is given by:

`y-y_1 = m(x-x_1)` where m is the slope and it is given by:

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

From the figure we choose two points on the line:

i.e, (9 , 19) and ( 15 , 25)

Calculate first slope m :

`m = (y_2-y_1)/(x_2-x_1)= (25-19)/(15-9)=(6)/(6)=1`

Now, using slope intercept form to find the equation of line;

`y-19 = 1 \cdot(x -9)`

or

y-19 = x -9

Add both sides 19 we get;

y -19 + 19 = x -9 + 19

Simplify:

y = x+10

Therefore, the function which best expresses the linear relationship displayed by the scatter plot is; y = x +10