Slope-intercept form is y=mx + b, where the variable m represents the slope of the equation and b represents the y-intercept of the equation. To convert an equation to this form, we must isolate the variable y on the left side of the equation. To do this, we begin by subtracting 4x from both sides of the equation.
2y = -4x + 6
Next, we must divide both sides of the equation by 2, because the variable y cannot have a coefficient in this form.
y = -2x + 3
Therefore, your answer is y = -2x + 3.
Hope this helps!