Graph 2x+5y=10

Problem

2*x+5*y=10

Solution

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

2*x+5*(0)=10

2*x=10

x=5

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

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

2*(0)+5*y=10

5*y=10

y=2

The y-intercept is at the point (0,2)

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

5*y=−2*x+10

y=−2/5*x+2

4. Identify the slope and intercept from the resulting equation.
   The slope m is −2/5 and the y-intercept b is 2

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

Final Answer

y=−2/5*x+2

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