Graph 4y-16=20x

Math
4y-16=20x
Solve for y.
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Add 16 to both sides of the equation.
4y=20x+16
Divide each term by 4 and simplify.
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Divide each term in 4y=20x+16 by 4.
4y4=20×4+164
Cancel the common factor of 4.
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Cancel the common factor.
4y4=20×4+164
Divide y by 1.
y=20×4+164
y=20×4+164
Simplify each term.
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Cancel the common factor of 20 and 4.
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Factor 4 out of 20x.
y=4(5x)4+164
Cancel the common factors.
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Factor 4 out of 4.
y=4(5x)4(1)+164
Cancel the common factor.
y=4(5x)4⋅1+164
Rewrite the expression.
y=5×1+164
Divide 5x by 1.
y=5x+164
y=5x+164
y=5x+164
Divide 16 by 4.
y=5x+4
y=5x+4
y=5x+4
y=5x+4
Use the slope-intercept form to find the slope and y-intercept.
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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
Find the values of m and b using the form y=mx+b.
m=5
b=4
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: 5
y-intercept: 4
Slope: 5
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)=5(0)+4
Simplify the result.
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Multiply 5 by 0.
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
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)=5(1)+4
Simplify the result.
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Multiply 5 by 1.
f(1)=5+4
Add 5 and 4.
f(1)=9
The final answer is 9.
9
9
The y value at x=1 is 9.
y=9
y=9
Create a table of the x and y values.
xy0419
xy0419
Graph the line using the slope and the y-intercept, or the points.
Slope: 5
y-intercept: 4
xy0419
Graph 4y-16=20x

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