Graph 2x+3y=6

Problem

2*x+3*y=6

Solution

1. Find the x-intercept by setting y=0 in the equation.

2*x+3*(0)=6

2*x=6

x=3

The x-intercept is (3,0)

2. Find the y-intercept by setting x=0 in the equation.

2*(0)+3*y=6

3*y=6

y=2

The y-intercept is (0,2)

3. Solve for y to find the slope-intercept form y=m*x+b

3*y=−2*x+6

y=−2/3*x+2

4. Identify the slope and the y-intercept from the equation.
   The slope m is −2/3 and the y-intercept b is 2

5. Plot the points (3,0) and (0,2) on a coordinate plane and draw a straight line through them.

Final Answer

y=−2/3*x+2

Want more problems? Check here!