Graph 5x-2y=10

Problem

5*x−2*y=10

Solution

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

5*x−2*(0)=10

5*x=10

x=2

The x-intercept is (2,0)

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

5*(0)−2*y=10

−2*y=10

y=−5

The y-intercept is (0,−5)

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

−2*y=−5*x+10

y=5/2*x−5

4. Plot the points (2,0) and (0,−5) on a coordinate plane and draw a straight line through them. The slope of the line is 5/2 meaning for every 2 units moved to the right, move up 5 units.

Final Answer

y=5/2*x−5

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