A data consists of the following data points:
(3,5), (5,8), (6,13)
The slope of the best-fit line is 2.5. Find the y-intercept of this line.

Question

A data consists of the following data points:
(3,5), (5,8), (6,13)
The slope of the best-fit line is 2.5. Find the y-intercept of this line.

anonymous · Answer

$\Large{b_0=\bar{y}-b_1\bar{x}}$

anonymous · Answer

$\Large{b_1}$ is the slope

anonymous · Answer

So would it be -2?

anonymous · Answer

to find the y in tercept you do [y1-y2divslope(x1-x2)\] and y1 and x1 stays variblaes with subtitail 1.

anonymous · Answer

$\bar{x} =\Large{ \frac{14}{3}}$ and $\bar{y} =\Large{ \frac{26}{3}}$

so plug in the numbers and compute.

i don't get -2...

anonymous · Answer

to which one do i plug the number in?

anonymous · Answer

$b_0$ is the y intercept.  the formula is:$$b_0=\bar{y}-b_1 \bar{x}$$
you have eveything, you just need to compute.

anonymous · Answer

are you in a stats class?

anonymous · Answer

No, it's Algebra 1.

anonymous · Answer

really?  did they give a formula for this?

anonymous · Answer

No, that's why I'm really confused.

anonymous · Answer

understandably!  well, now you have the formula... you just have to plug in the numbers and compute.

anonymous · Answer

$$b_0=\frac{ 26 }{ 3 }-\frac{ 5 }{ 2 }\cdot \frac{ 14 }{ 3 }$$

anonymous · Answer

I got 504/9