Final answer:
The slope-intercept form of the equation 6x-3y=12 is y = 2x - 4, with a slope of 2 and a y-intercept of -4.
Step-by-step explanation:
To find the slope-intercept form of the equation 6x-3y=12, we need to solve for y to get it in the form y=mx+b, where m is the slope and b is the y-intercept.
Starting with the given equation:
- 6x - 3y = 12
- Subtract 6x from both sides: -3y = -6x + 12
- Divide each term by -3 to solve for y: y = 2x - 4
Now, the equation is in slope-intercept form y = mx + b, where the slope m is 2 and the y-intercept b is -4.