Graph 4x+3y=12

Problem

4*x+3*y=12

Solution

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

4*x+3*(0)=12

4*x=12

x=3

The x-intercept is the point (3,0)

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

4*(0)+3*y=12

3*y=12

y=4

The y-intercept is the point (0,4)

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

3*y=−4*x+12

y=−4/3*x+4

4. Plot the points (3,0) and (0,4) on a coordinate plane and draw a straight line through them. The slope is −4/3 meaning the line goes down 4 units for every 3 units it moves to the right.

Final Answer

y=−4/3*x+4

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