Graph 7x-3y=21

Math
7x-3y=21
Solve for y.
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Subtract 7x from both sides of the equation.
-3y=21-7x
Divide each term by -3 and simplify.
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Divide each term in -3y=21-7x by -3.
-3y-3=21-3+-7x-3
Cancel the common factor of -3.
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Cancel the common factor.
-3y-3=21-3+-7x-3
Divide y by 1.
y=21-3+-7x-3
y=21-3+-7x-3
Simplify each term.
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Divide 21 by -3.
y=-7+-7x-3
Dividing two negative values results in a positive value.
y=-7+7×3
y=-7+7×3
y=-7+7×3
y=-7+7×3
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 -7 and 7×3.
y=7×3-7
Rewrite in slope-intercept form.
y=73x-7
y=73x-7
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=73
b=-7
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: 73
y-intercept: -7
Slope: 73
y-intercept: -7
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 3 to substitute in for x to find the ordered pair.
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Replace the variable x with 3 in the expression.
f(3)=7(3)3-7
Simplify the result.
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Multiply 7 by 3.
f(3)=213-7
Divide 21 by 3.
f(3)=7-7
Subtract 7 from 7.
f(3)=0
The final answer is 0.
0
0
The y value at x=3 is 0.
y=0
y=0
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)=7(0)3-7
Simplify the result.
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Multiply 7 by 0.
f(0)=03-7
Divide 0 by 3.
f(0)=0-7
Subtract 7 from 0.
f(0)=-7
The final answer is -7.
-7
-7
The y value at x=0 is -7.
y=-7
y=-7
Create a table of the x and y values.
xy0-730
xy0-730
Graph the line using the slope and the y-intercept, or the points.
Slope: 73
y-intercept: -7
xy0-730
Graph 7x-3y=21

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