What is the slope and y-intercept of the graph of -x + 2y = 6?

Question

alexandervonhumboldt2 · Answer

first convert to spole-intercept form

anonymous · Answer

make everything equal to y
$$2y = 6+x$$ divide by 2$$y = 3 + \frac{ x }{ 2 }$$ reorder terms$$y = \frac{ x }{ 2 } + 3$$

alexandervonhumboldt2 · Answer

to do this add x to both sides first. then divide botth sides by 2. 

you will get form of y=ax+b  where a is slope and b is y-intercept

anonymous · Answer

|dw:1429762630738:dw|

alexandervonhumboldt2 · Answer

yeas

anonymous · Answer

technically, $$\frac{ x }{ 2 } = \frac{ 1 }{ 2 }x$$

sammixboo · Answer

$\color{blue}{\text{Originally Posted by}}$ @anonymark
make everything equal to y
$$2y = 6+x$$ divide by 2$$y = 3 + \frac{ x }{ 2 }$$ reorder terms$$y = \frac{ x }{ 2 } + 3$$
$\color{blue}{\text{End of Quote}}$
Also known as changing it into slope-intercept form

anonymous · Answer

what do I divide? the 2x and the x? or with the 6?

anonymous · Answer

so ... it would be 1/2; 3 ?

alexandervonhumboldt2 · Answer

no first you add x to both sides:

-x+2y+x=6+x
2y=6+x
now divide both sides by 2

you get y=1/2x+3

alexandervonhumboldt2 · Answer

y=ax+b
y=1/2x+3     a is slope and b is y-intecept

alexandervonhumboldt2 · Answer

|dw:1429630054449:dw|