Final answer:
To find the x-intercept and y-intercept of the equation x/3 + y/2 = 2, set one variable to zero at a time and solve for the other variable. The x-intercept is 6 and the y-intercept is 4.
Step-by-step explanation:
To find the x-intercept and y-intercept of the equation x/3 + y/2 = 2, we can set one variable to zero at a time and solve for the other variable.
For the x-intercept, we set y = 0 and solve for x: x/3 + 0 = 2. This simplifies to x/3 = 2. Multiply both sides by 3 to isolate x: x = 6.
For the y-intercept, we set x = 0 and solve for y: 0/3 + y/2 = 2. This simplifies to y/2 = 2. Multiply both sides by 2 to isolate y: y = 4.