Question

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

Answer 1

(0,6)(4,3)
slope = (3 - 6) / (4 - 0) = -3/4
ur y int (where the line crosses the y axis) is (0,6)

in y = mx + b form, the slope will be in the m position and the y int will be in the b position. 

Therefore, ur equation is : y = -3/4x + 6 <==

Answer 2

Hello Friend!

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 1st Two options, 
$y=6x + \frac{3}{4}$

And

$y=6x + \frac{3}{4}$

And leaves behind
$y= - \frac{3}{4} +6$

And

$y= \frac{3}{4} x+6$

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

Therefore, The Answer will be 100%:

$y= - \frac{3}{4} +6$

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