Answer:
The slope intercept form of the equation would be y = 2x - 3
Explanation:
Firstly, you need to find the slope of the original line. To do so, we need to solve the original line for y.
6x - 3y = 12
-3y = -6x + 12
y = 2x - 4
Now we know the original slope is 2 (since it is the coefficient of x). Now we use that slope and the point in point-slope form and solve it for y.
y - y1 = m(x - x1)
y - 1 = 2(x - 2)
y - 1 = 2x - 4
y = 2x - 3