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Algebra Examples
3x-y=63x−y=6
Step 1
Step 1.1
Subtract 3x3x from both sides of the equation.
-y=6-3x−y=6−3x
Step 1.2
Divide each term in -y=6-3x−y=6−3x by -1−1 and simplify.
Step 1.2.1
Divide each term in -y=6-3x−y=6−3x by -1−1.
-y-1=6-1+-3x-1−y−1=6−1+−3x−1
Step 1.2.2
Simplify the left side.
Step 1.2.2.1
Dividing two negative values results in a positive value.
y1=6-1+-3x-1y1=6−1+−3x−1
Step 1.2.2.2
Divide yy by 1.
y=6-1+-3x-1
y=6-1+-3x-1
Step 1.2.3
Simplify the right side.
Step 1.2.3.1
Simplify each term.
Step 1.2.3.1.1
Divide 6 by -1.
y=-6+-3x-1
Step 1.2.3.1.2
Move the negative one from the denominator of -3x-1.
y=-6-1⋅(-3x)
Step 1.2.3.1.3
Rewrite -1⋅(-3x) as -(-3x).
y=-6-(-3x)
Step 1.2.3.1.4
Multiply -3 by -1.
y=-6+3x
y=-6+3x
y=-6+3x
y=-6+3x
y=-6+3x
Step 2
Step 2.1
The slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.
y=mx+b
Step 2.2
Reorder -6 and 3x.
y=3x-6
y=3x-6
Step 3
Step 3.1
Find the values of m and b using the form y=mx+b.
m=3
b=-6
Step 3.2
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: 3
y-intercept: (0,-6)
Slope: 3
y-intercept: (0,-6)
Step 4
Step 4.1
Reorder -6 and 3x.
y=3x-6
Step 4.2
Create a table of the x and y values.
xy0-61-3
xy0-61-3
Step 5
Graph the line using the slope and the y-intercept, or the points.
Slope: 3
y-intercept: (0,-6)
xy0-61-3
Step 6
