To find the slope-intercept form of the equation, we need to isolate y on one side of the equation.
The given equation is 4x + 2y = 6.
First, subtract 4x from both sides of the equation:
2y = -4x + 6.
Next, divide all terms by 2 to solve for y:
y = (-4/2)x + 6/2.
Simplifying further:
y = -2x + 3.
Therefore, the slope-intercept form of the equation is y = -2x + 3.