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Ira Lisetskai [31]
3 years ago
5

Please helppp...

Mathematics
2 answers:
Brut [27]3 years ago
8 0

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


LUCKY_DIMON [66]3 years ago
3 0

Answer:

A

Step-by-step explanation:

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