Question

(06.04)The line of best fit for a scatter plot is shown:A scatter plot and line of best fit are shown. Data points are located at 1 and 4, 2 and 6, 2 and 3, 4 and 3, 6 and 1, 4 and 5, 7 and 2, 0 and 6. A line of best fit passes through the y-axis at 6 and through the point 4 and 3.What is the equation of this line of best fit in slope-intercept form? (4 points)y = −6x + three fourthsy = 6x + three fourthsy = negative three fourthsx + 6y = three fourthsx + 6

Answer 1

`y\text{ = -}(3)/(4)x\text{ + 6}`

Step-by-step explanation:

Given the y-intercept and a point, we want to get the equation of the line of best fit

We have the slope-intercept form as:

`y\text{ = mx + b}`

where m is the slope and b is the y-intercept:

`y\text{ = mx + 6}`

Now, to get m, we substitute the point (4,3)

We substitute 3 for y and 4 for x

We have that as:

`\begin{gathered} 3\text{ = 4m + 6} \\ 3-6\text{ = 4m} \\ 4m\text{ = -3} \\ m\text{ = -}(3)/(4) \end{gathered}`

Thus, the equation of the line of best fit is:

`y\text{ = -}(3)/(4)x\text{ + 6}`