Graph x+2y=8

Math
x+2y=8
Solve for y.
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Subtract x from both sides of the equation.
2y=8-x
Divide each term by 2 and simplify.
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Divide each term in 2y=8-x by 2.
2y2=82+-x2
Cancel the common factor of 2.
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Cancel the common factor.
2y2=82+-x2
Divide y by 1.
y=82+-x2
y=82+-x2
Simplify each term.
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Divide 8 by 2.
y=4+-x2
Move the negative in front of the fraction.
y=4-x2
y=4-x2
y=4-x2
y=4-x2
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 -x2.
y=-x2+4
Rewrite in slope-intercept form.
y=-12x+4
y=-12x+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=-12
b=4
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: -12
y-intercept: 4
Slope: -12
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 2 to substitute in for x to find the ordered pair.
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Replace the variable x with 2 in the expression.
f(2)=-22+4
Simplify the result.
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Simplify each term.
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Divide 2 by 2.
f(2)=-1⋅1+4
Multiply -1 by 1.
f(2)=-1+4
f(2)=-1+4
Add -1 and 4.
f(2)=3
The final answer is 3.
3
3
The y value at x=2 is 3.
y=3
y=3
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)=-02+4
Simplify the result.
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Simplify each term.
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Divide 0 by 2.
f(0)=-0+4
Multiply -1 by 0.
f(0)=0+4
f(0)=0+4
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
Create a table of the x and y values.
xy0423
xy0423
Graph the line using the slope and the y-intercept, or the points.
Slope: -12
y-intercept: 4
xy0423
Graph x+2y=8

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