Answer:
To put the equation 14x = 6y - 12 into slope-intercept form (y = mx + b), where m represents the slope and b represents the y-intercept, we need to isolate the y variable on one side of the equation.
Starting with 14x = 6y - 12, we can rearrange the equation as follows:
6y = 14x + 12
Dividing both sides of the equation by 6, we get:
y = (14/6)x + 2
Simplifying further, the equation can be written in slope-intercept form as:
y = (7/3)x + 2
So, the equation 14x = 6y - 12, in slope-intercept form, is y = (7/3)x + 2.