3x-6y=12


find the slope, y intercept and general equation

Put the equation in the form

y = mx + b
-6y = -3x + 12
y = (1/2)x - 2
Slope = m = 1/2
y intercept = (0,b) = (0, -2)

To find the slope, y-intercept, and general equation of the given equation 3x - 6y = 12, we need to rewrite it in the slope-intercept form, which is in the form of y = mx + b, where m represents the slope, and b represents the y-intercept.

Step 1: Start with the given equation: 3x - 6y = 12

Step 2: Isolate y on one side of the equation by subtracting 3x from both sides:
-6y = -3x + 12

Step 3: Divide every term by -6 to solve for y:
y = (-3x + 12) / -6

Step 4: Simplify the equation:
y = (-1/2)x + 2

Now, we have the equation in slope-intercept form, y = mx + b, where the slope m is -1/2, and the y-intercept b is 2.

The general equation is: 3x - 6y = 12