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

Answer:

Option A is correct

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

Step-by-step 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:

$m = \frac{y_2-y_1}{x_2-x_1}$

From the figure we choose two points on the line:

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

Calculate first slope m :

$m = \frac{y_2-y_1}{x_2-x_1}= \frac{25-19}{15-9}=\frac{6}{6}=1$  

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

Answer 2

Answer:

A

Step-by-step explanation: