Finish writing the equation of the line y = 1/4x + ? , given the points (-12, 0) and (4, 4). Type only the number that is missing after the final + or - sign.

Question

anonymous · Answer

This is solvable with the point-slope form of the equation for a line:

y - y1 = m(x - x1)

y - 4 = (1/4)(x - 4)

y - 4 = (1/4)x  -  1

y = (1/4)x  +  3

anonymous · Answer

The last equation is in slope intercept and the number is :

3

anonymous · Answer

The slope was already given as 1/4, but also could have been calculated:

(y2 - y1)/(x2 - x1) = m

(4 - 0)/[4 - (-12)]   =   4/16   =   1/4

reemii · Answer

in the equation $y = (1/4) x + ....$, only one info is missing. Only one point is needed to find this value. As tcaroll010 said, it is 3. Replace y by 4 and x by 4 (we use (4,4)) and the equation must be ok. this will give you the value of "?" .

anonymous · Answer

btw, that "3" is the y-intercept and the line looks like:|dw:1369870779060:dw|

anonymous · Answer

So 1/4?

anonymous · Answer

No, "3"

anonymous · Answer

"3" is the # you want.  "1/4" is just additional incidental information.

anonymous · Answer

okay! so 1/4 x 3?

anonymous · Answer

No, just "3"

anonymous · Answer

3 goes where that ? is

anonymous · Answer

oh

anonymous · Answer

ok my error

anonymous · Answer

my mistake - wow

anonymous · Answer

np.  

Your question was basically to replace the "?" in:

y = 1/4x + ? 

So, you get:

y = 1/4x + 3

reemii · Answer

$y = (1/4)x + p$. you want to find $p$.
If (4,4) is on the line, then the equation is satisfied at this point. So the equation $4 = (1/4)4 + p$ is correct. This shows that $p=3$.