Graph 3x-y=6

Problem

3*x−y=6

Solution

1. Rewrite the equation in slope-intercept form y=m*x+b by isolating y

3*x−y=6

−y=−3*x+6

y=3*x−6

2. Identify the y-intercept b from the equation.

b=−6

Point=(0,−6)

3. Identify the slope m to find a second point.

m=3

Slope=rise/run=3/1

4. Calculate a second point by moving up 3 units and right 1 unit from the y-intercept.

(0+1,−6+3)=(1,−3)

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

3*x−0=6

3*x=6

x=2

Point=(2,0)

6. Plot the points (0,−6) (1,−3) and (2,0) on a coordinate plane and draw a straight line through them.

Final Answer

y=3*x−6

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