Graph 6x+5y=-20

Math
6x+5y=-20
Solve for y.
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Subtract 6x from both sides of the equation.
5y=-20-6x
Divide each term by 5 and simplify.
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Divide each term in 5y=-20-6x by 5.
5y5=-205+-6×5
Cancel the common factor of 5.
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Cancel the common factor.
5y5=-205+-6×5
Divide y by 1.
y=-205+-6×5
y=-205+-6×5
Simplify each term.
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Divide -20 by 5.
y=-4+-6×5
Move the negative in front of the fraction.
y=-4-6×5
y=-4-6×5
y=-4-6×5
y=-4-6×5
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 -4 and -6×5.
y=-6×5-4
Rewrite in slope-intercept form.
y=-65x-4
y=-65x-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=-65
b=-4
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: -65
y-intercept: -4
Slope: -65
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)=-6(0)5-4
Simplify the result.
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Simplify each term.
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Cancel the common factor of 0 and 5.
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Factor 5 out of 6(0).
f(0)=-5(6⋅(0))5-4
Cancel the common factors.
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Factor 5 out of 5.
f(0)=-5(6⋅(0))5(1)-4
Cancel the common factor.
f(0)=-5(6⋅(0))5⋅1-4
Rewrite the expression.
f(0)=-6⋅(0)1-4
Divide 6⋅(0) by 1.
f(0)=-(6⋅(0))-4
f(0)=-(6⋅(0))-4
f(0)=-(6⋅(0))-4
Multiply 6 by 0.
f(0)=-0-4
Multiply -1 by 0.
f(0)=0-4
f(0)=0-4
Subtract 4 from 0.
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)=-6(1)5-4
Simplify the result.
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Multiply 6 by 1.
f(1)=-65-4
To write -4 as a fraction with a common denominator, multiply by 55.
f(1)=-65-4⋅55
Combine -4 and 55.
f(1)=-65+-4⋅55
Combine the numerators over the common denominator.
f(1)=-6-4⋅55
Simplify the numerator.
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Multiply -4 by 5.
f(1)=-6-205
Subtract 20 from -6.
f(1)=-265
f(1)=-265
Move the negative in front of the fraction.
f(1)=-265
The final answer is -265.
-265
-265
The y value at x=1 is -265.
y=-265
y=-265
Create a table of the x and y values.
xy0-41-265
xy0-41-265
Graph the line using the slope and the y-intercept, or the points.
Slope: -65
y-intercept: -4
xy0-41-265
Graph 6x+5y=-20

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