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Explanation:
Hello! Remember you have to write complete questions in order to get good and exact answers. However, I'll help you providing some example:
The Slope-intercept form of the equation of a line is given by the form:
[tex]y=mx+b \\ \\ \\ Where: \\ \\ m:Slope \\ \\ b:y-intercept[/tex]
So, from the line shown below, we know that:
1. What is the y-intercept of the line of best fit?
The y-intercept occurs when [tex]x=0[/tex]. In other words, from the graph:
[tex](0,b)=(0,6)[/tex]
So the y-intercept is:
[tex]\boxed{b=6}[/tex]
2. What is the slope of the line of best fit?
The slope of the line can be found with two points, so:
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ \\ (x_{1},y_{1})=(0,6) \\ \\ (x_{2},y_{2})=(-3,0) \\ \\ \\ m=\frac{0-6}{-3-0} \\ \\ \boxed{m=2}[/tex]
3. What is the equation of the line of best fit?
So the equation of the line is:
[tex]y=mx+b \\ \\ \\ Substituting \ m \ and \ b: \\ \\ \boxed{y=2x+6}[/tex]
Learn more:
Equation of lines: https://brainly.com/question/12169569
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