Graph 2x-2y=-8

Math
2x-2y=-8
Solve for y.
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Subtract 2x from both sides of the equation.
-2y=-8-2x
Divide each term by -2 and simplify.
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Divide each term in -2y=-8-2x by -2.
-2y-2=-8-2+-2x-2
Cancel the common factor of -2.
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Cancel the common factor.
-2y-2=-8-2+-2x-2
Divide y by 1.
y=-8-2+-2x-2
y=-8-2+-2x-2
Simplify each term.
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Divide -8 by -2.
y=4+-2x-2
Cancel the common factor of -2.
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Cancel the common factor.
y=4+-2x-2
Divide x by 1.
y=4+x
y=4+x
y=4+x
y=4+x
y=4+x
Rewrite in slope-intercept form.
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The slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.
y=mx+b
Reorder 4 and x.
y=x+4
y=x+4
Use the slope-intercept form to find the slope and y-intercept.
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Find the values of m and b using the form y=mx+b.
m=1
b=4
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: 1
y-intercept: 4
Slope: 1
y-intercept: 4
Any line can be graphed using two points. Select two x values, and plug them into the equation to find the corresponding y values.
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Choose 0 to substitute in for x to find the ordered pair.
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Replace the variable x with 0 in the expression.
f(0)=(0)+4
Simplify the result.
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Add 0 and 4.
f(0)=4
The final answer is 4.
4
4
The y value at x=0 is 4.
y=4
y=4
Choose 1 to substitute in for x to find the ordered pair.
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Replace the variable x with 1 in the expression.
f(1)=(1)+4
Simplify the result.
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Add 1 and 4.
f(1)=5
The final answer is 5.
5
5
The y value at x=1 is 5.
y=5
y=5
Create a table of the x and y values.
xy0415
xy0415
Graph the line using the slope and the y-intercept, or the points.
Slope: 1
y-intercept: 4
xy0415
Graph 2x-2y=-8

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