Graph 4x+5y=0

Math
4x+5y=0
Solve for y.
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Subtract 4x from both sides of the equation.
5y=-4x
Divide each term by 5 and simplify.
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Divide each term in 5y=-4x by 5.
5y5=-4×5
Cancel the common factor of 5.
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Cancel the common factor.
5y5=-4×5
Divide y by 1.
y=-4×5
y=-4×5
Move the negative in front of the fraction.
y=-4×5
y=-4×5
y=-4×5
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=-45
b=0
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: -45
y-intercept: 0
Slope: -45
y-intercept: 0
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
Simplify the result.
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Cancel the common factor of 0 and 5.
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Factor 5 out of 4(0).
f(0)=-5(4⋅(0))5
Cancel the common factors.
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Factor 5 out of 5.
f(0)=-5(4⋅(0))5(1)
Cancel the common factor.
f(0)=-5(4⋅(0))5⋅1
Rewrite the expression.
f(0)=-4⋅(0)1
Divide 4⋅(0) by 1.
f(0)=-(4⋅(0))
f(0)=-(4⋅(0))
f(0)=-(4⋅(0))
Multiply by zero.
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Multiply 4 by 0.
f(0)=-0
Multiply -1 by 0.
f(0)=0
f(0)=0
The final answer is 0.
0
0
The y value at x=0 is 0.
y=0
y=0
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
Simplify the result.
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Multiply 4 by 1.
f(1)=-45
The final answer is -45.
-45
-45
The y value at x=1 is -45.
y=-45
y=-45
Create a table of the x and y values.
xy001-45
xy001-45
Graph the line using the slope and the y-intercept, or the points.
Slope: -45
y-intercept: 0
xy001-45
Graph 4x+5y=0

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