Final answer:
To write the equation 6x+3y=12 in slope-intercept form, subtract 6x from both sides and then divide by 3 to isolate y. The slope is -2 and the y-intercept is 4.
Step-by-step explanation:
To write the equation 6x+3y=12 in slope-intercept form, which is y=mx+b, where m is the slope and b is the y-intercept, we need to isolate y.
Start by subtracting 6x from both sides of the equation:
3y = -6x + 12
Next, divide both sides by 3:
y = -2x + 4
So, the equation 6x+3y=12 in slope-intercept form is y = -2x + 4. The slope is -2 and the y-intercept is 4.
Learn more about writing equations in slope-intercept form