6. The y-intercept is 8
7. the slope is -1/2
8. Equation of line is: [tex]y = -\frac{1}{2}x+8[/tex]
Step-by-step explanation:
Let us define y-intercept first
The y-intercept of the line is where the line intersects the y-axis.
5. What is the y-intercept of the line of best fit?
The given line on graph intersects the y-axis on 8 so the y intercept of the line of best fit is 8
6. What is the slope of the line of best fit for this scatter plot?
The slope can be calculated by locating two points on line.
In the given line, we can easily observe two points
(2,7) and (4,6)
The slope is calculated by the formula
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Here (x1, y1) are the coordinates of first point on line and (x2,y2) are the coordinated of second point on line
So, putting the values
[tex]m=\frac{6-7}{4-2}\\=\frac{-1}{2}\\=-\frac{1}{2}[/tex]
7. What is the equation of the line of best fit?
The slope intercept form of any line is given by:
[tex]y=mx+b[/tex]
where m is slope and b is y-intercept of the line
As we already know
m = -1/2 and y-intercept is 8
Putting the values in the equation
[tex]y = -\frac{1}{2}x+8[/tex]
Keywords: Equation of line, Slope
Learn more about equation of line at:
- brainly.com/question/10541435
- brainly.com/question/10666510
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