To rewrite the equation 6x + 3y = 12 into slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept, follow these steps:
1. Subtract 6x from both sides of the equation:
3y = -6x + 12
2. Now, divide both sides by 3 to isolate y:
y = (-6/3)x + 12/3
3. Simplify:
y = -2x + 4
So, the equation in slope-intercept form is y = -2x + 4.
Now, let's find a coordinate pair (x, y) that falls on this line. You can choose any value for x, and then use the equation to calculate the corresponding y-value. For example, if we choose x = 2:
y = -2(2) + 4
y = -4 + 4
y = 0
So, the coordinate pair (2, 0) falls on the line represented by the equation y = -2x + 4.