Graph 4x-5y=10

Math
4x-5y=10
Solve for y.
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Subtract 4x from both sides of the equation.
-5y=10-4x
Divide each term by -5 and simplify.
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Divide each term in -5y=10-4x by -5.
-5y-5=10-5+-4x-5
Cancel the common factor of -5.
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Cancel the common factor.
-5y-5=10-5+-4x-5
Divide y by 1.
y=10-5+-4x-5
y=10-5+-4x-5
Simplify each term.
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Divide 10 by -5.
y=-2+-4x-5
Dividing two negative values results in a positive value.
y=-2+4×5
y=-2+4×5
y=-2+4×5
y=-2+4×5
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 -2 and 4×5.
y=4×5-2
Rewrite in slope-intercept form.
y=45x-2
y=45x-2
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=45
b=-2
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: 45
y-intercept: -2
Slope: 45
y-intercept: -2
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)=4(0)5-2
Simplify the result.
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Multiply 4 by 0.
f(0)=05-2
Divide 0 by 5.
f(0)=0-2
Subtract 2 from 0.
f(0)=-2
The final answer is -2.
-2
-2
The y value at x=0 is -2.
y=-2
y=-2
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)=4(1)5-2
Simplify the result.
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Multiply 4 by 1.
f(1)=45-2
To write -2 as a fraction with a common denominator, multiply by 55.
f(1)=45-2⋅55
Combine -2 and 55.
f(1)=45+-2⋅55
Combine the numerators over the common denominator.
f(1)=4-2⋅55
Simplify the numerator.
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Multiply -2 by 5.
f(1)=4-105
Subtract 10 from 4.
f(1)=-65
f(1)=-65
Move the negative in front of the fraction.
f(1)=-65
The final answer is -65.
-65
-65
The y value at x=1 is -65.
y=-65
y=-65
Create a table of the x and y values.
xy0-21-65
xy0-21-65
Graph the line using the slope and the y-intercept, or the points.
Slope: 45
y-intercept: -2
xy0-21-65
Graph 4x-5y=10

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