The given equation is:

$4x + 2y = 6$

To express this equation in slope-intercept form ($y = mx + b$), follow these steps:

1. Isolate $y$: $2y = -4x + 6$

2. Divide by 2 to solve for $y$: $y = -2x + 3$

Thus, the correct answer is $y = -2x + 3$.

The selected answer ($y = 2x + 3$) is incorrect. The correct choice should be the second option: $y = -2x + 3$.

Would you like a deeper explanation or another example?

Here are some related questions:

1. How do you convert an equation from standard form to slope-intercept form?
2. What is the significance of the slope ($m$) in the equation $y = mx + b$?
3. How do you determine the y-intercept from an equation in slope-intercept form?
4. Can you graph the equation $y = -2x + 3$?
5. How do you find the x-intercept of the equation $4x + 2y = 6$?

Tip: Always check the signs carefully when rearranging equations to avoid mistakes.