Final answer:
Simplify the equation and express it in intercept form: y = (-3/7)x - (8/7)
Step-by-step explanation:
First, let's simplify the expression on the left side of the equation:
2 - (3y - 7x)/2 = 7x + 6
Multiply both sides of the equation by 2 to get rid of the fraction:
4 - 3y + 7x = 14x + 12
Combine like terms:
7x - 14x = 12 - 4 + 3y
-7x = 8 + 3y
Divide both sides by -7 to solve for y:
y = (-8/7) - (3/7)x
So, the equation in intercept form is y = (-3/7)x - (8/7).