Final answer:
The equation that represents the given equation in slope-intercept form is y = -4x + 2.
Step-by-step explanation:
The given equation is 4x=2-y. To represent this equation in slope-intercept form (y=mx+b), we need to isolate y on one side of the equation. In the given equation, we can add y to both sides and then simplify:
4x + y = 2
y = -4x + 2
Therefore, the equation that represents the equivalent equation in slope-intercept form is
y = -4x + 2.
Learn more about Equations in slope-intercept form