What is the slope-intercept form of the equation 4x + 2y = 6?

Answer 1

To write the equation in slope-intercept form, which is y = mx + b, we need to solve the equation for y.

Starting with the given equation:
4x + 2y = 6

We can isolate the variable y by subtracting 4x from both sides:
2y = -4x + 6

Then, divide both sides by 2:
y = (-4/2)x + 6/2

Simplifying the equation gives us:
y = -2x + 3

Therefore, the slope-intercept form of the equation 4x + 2y = 6 is y = -2x + 3.