Question

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

Answer 1

first convert to spole-intercept form

Answer 2

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

Answer 3

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

Answer 4

yeas

Answer 5

technically, \[\frac{ x }{ 2 } = \frac{ 1 }{ 2 }x\]

Answer 6

\(\color{blue}{\text{Originally Posted by}}\) @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

Answer 7

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

Answer 8

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

Answer 9

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

Answer 10

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