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 and the equation of line is given by:
where m is the slope and it is given by:
From the figure we choose two points on the line:
i.e, (9 , 19) and ( 15 , 25)
Calculate first slope m :
Now, using slope intercept form to find the equation of line;
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