Question

What is the equation of this line of best fit in slope-intercept form?
y = −6x + 3/4
y = 6x + 3/4
y =-3/4 x + 6
y =3/4 x + 6

PLEASE HELP!!! Get brainliest answer if right @peredhel

Answer 1

Hi! 

(before I answer, I wanted to say that tagging me doesn't normally get my attention, and you won't always get the people you want to answer your question to answer it, whether you tag someone or not, because it doesn't notify anyone. Hope that makes sense.) :)

So first let's look at the graph. 

The y intercept is 6. 
That rules out A and B. 

The line is going down, which means the coefficient to x will be negative. 

That rules out C.

Now to make sure D is correct, find the slope of the line. 
The slope of the line is 3/4, which means D is correct.

The answer is y = 3/4x + 6

Hope this helps! :)

Answer 2

Since the line is going down, the gradient must be negative
After that,
Let A be a point on the line with coordinates (0,6) while let B be another point on the line with coordinates (8,0)
Let's recall the gradient formula
y1-y2/x1-x2
So, the gradient of AB will be 6-0/0-8= -3/4
Let's also recall that the formula of a linear line is y=mx+c, m is the gradient while x is the y-intercept.
So in this case, the gradient is -3/4 while the y-intercept is 6.
As such, the answer must be the third one, y=-3/4x + 6