Question

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?
y = −6x + three fourths
y = 6x + three fourths
y = negative three fourthsx + 6
y = three fourthsx + 6

Please give me the answer or try and help me so I can understand better?

Answer 1

C

Explanation:

got it on the test

Answer 2

In the slope intercept form, b represents the y intercept.
y = mx +- b

Therefore, if the y intercept is at 6, the formula of the line will look like
y=mx + 6

This eliminates the first two options,

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

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

and leaves behind

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

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

Since the line you indicated is sloping downwards towards the lower right hand corner. It must have a negative slope.

Therefore, the answer must be the 3rd option.


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