Answer:
y = -2x/3 + 4
Step-by-step explanation:
The equation of a line in slope-intercept form is expressed as y = mx+c
Given the equation 2x+3y=12, you will have to make y the subject of the formula as shown:
Given
2x+3y=12
3y = 12 - 2x
3y = -2x + 12
Divide through by 3
3y/3 = -2x/3 + 12/3
y = -2x/3 + 4
Hence the expression in slope intercept form is y = -2x/3 + 4