Question

Which of the following equations is the equation 2-3y+ 6x=0 written in slope-intercept form?

Oy=1/2 x+2
Oy=2x+2/3
Oy=-2x-2/3

Answer 1

To write the equation 2-3y+6x=0 in slope-intercept form, we isolate the y variable to yield the equation y = (1/2)x + (2/3).

Step-by-step explanation:

To write the equation 2-3y+6x=0 in slope-intercept form, we need to isolate the y variable on one side of the equation. First, let's rearrange the equation: 6x - 3y = -2. Now, let's solve for y:

Subtract 6x from both sides:

-3y = -6x - 2

Divide both sides by -3 to isolate y:

y = (1/2)x + (2/3)

Therefore, the equation 2-3y+6x=0 written in slope-intercept form is y = (1/2)x + (2/3).

Learn more about Writing equations in slope-intercept form