Graph 5x+3y=15

Problem

5*x+3*y=15

Solution

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

5*x+3*(0)=15

5*x=15

x=3

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

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

5*(0)+3*y=15

3*y=15

y=5

The y-intercept is at the point (0,5)

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

3*y=−5*x+15

y=−5/3*x+5

4. Plot the points (3,0) and (0,5) on a coordinate plane and draw a straight line through them. The slope of the line is −5/3 meaning for every 3 units moved to the right, move 5 units down.

Final Answer

y=−5/3*x+5

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