Question

What is y

in slope intercept form?
equation is equivalent to y = -3x + 2 when written
* Hint: Solve for y.
O 2x + y = 2
O X + 2y = 4
o 2x - y = 2
O x – 2y = 4

Answer 1

Slope intercept form of a line

• y=mx+b

Now let's convert

#1

`\\ \sf\longmapsto 2x+y=2`

`\\ \sf\longmapsto y=-2x+2`

• m=-2
• b=2

#2

`\\ \sf\longmapsto x+2y=4`

`\\ \sf\longmapsto 2y=-x+4`

`\\ \sf\longmapsto y=(-1)/(2)x+2`

• m=-1/2
• b=4

#3

`\\ \sf\longmapsto 2x-y=2`

`\\ \sf\longmapsto y=2x-2`

• m=2
• b=-2

#4

`\\ \sf\longmapsto x-2y=4`

`\\ \sf\longmapsto 2y=x-4`

`\\ \sf\longmapsto y=1/2x-2`

• m=1/2
• b=-2

Answer 2

Explanation:

Looks like you want all equations converted into slope-intercept form.

• 2x + y = 2 ⇒ y = -2x + 2
• x + 2y = 4 ⇒ 2y = - x + 4 ⇒ y = - 1/2x + 2
• 2x - y = 2 ⇒ y = 2x - 2
• x - 2y = 4 ⇒ 2y = x - 4 ⇒ y = 1/2x - 2