Question

The line of best fit for a scatter plot is shown below:

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?

y = –6x + three fourths
y = 6x + three fourths
y = negative three fourthsx + 6
y = three fourthsx + 6

Answer 1

Y = negative three fourths x + 6

Answer 2

The correct option is 3.

Explanation:

It is given that the line of best fit passes through the y-axis at 6 and through the point (4,3).

If a line passes through two points
`(x_1,y_1)` and
`(x_2,y_2)`, then the equation of line is

`y-y_1=(y_2-y_1)/(x_2-x_1)(x-x_1)`

The line passes through the points (0,6) and (4,3). So, the equation of best line is

`y-6=(3-6)/(4-0)(x-0)`

`y-6=(-3)/(4)(x)`

`y-6=-(3)/(4)x`

Add 6 on both sides.

`y-6+6=-(3)/(4)x+6`

`y=-(3)/(4)x+6`

The equation of line of best fit in slope-intercept form is
`y=-(3)/(4)x+6`.

Therefore the correct option is 3.