Graph 8(5y+x)=4

Math
8(5y+x)=4
Solve for y.
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Subtract 8x from both sides of the equation.
40y=4-8x
Divide each term by 40 and simplify.
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Divide each term in 40y=4-8x by 40.
40y40=440+-8×40
Cancel the common factor of 40.
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Cancel the common factor.
40y40=440+-8×40
Divide y by 1.
y=440+-8×40
y=440+-8×40
Simplify each term.
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Cancel the common factor of 4 and 40.
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Factor 4 out of 4.
y=4(1)40+-8×40
Cancel the common factors.
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Factor 4 out of 40.
y=4⋅14⋅10+-8×40
Cancel the common factor.
y=4⋅14⋅10+-8×40
Rewrite the expression.
y=110+-8×40
y=110+-8×40
y=110+-8×40
Cancel the common factor of -8 and 40.
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Factor 8 out of -8x.
y=110+8(-x)40
Cancel the common factors.
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Factor 8 out of 40.
y=110+8(-x)8(5)
Cancel the common factor.
y=110+8(-x)8⋅5
Rewrite the expression.
y=110+-x5
y=110+-x5
y=110+-x5
Move the negative in front of the fraction.
y=110-x5
y=110-x5
y=110-x5
y=110-x5
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 110 and -x5.
y=-x5+110
Rewrite in slope-intercept form.
y=-15x+110
y=-15x+110
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=-15
b=110
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: -15
y-intercept: 110
Slope: -15
y-intercept: 110
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)=-05+110
Simplify the result.
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Simplify each term.
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Divide 0 by 5.
f(0)=-0+110
Multiply -1 by 0.
f(0)=0+110
f(0)=0+110
Add 0 and 110.
f(0)=110
The final answer is 110.
110
110
The y value at x=0 is 110.
y=110
y=110
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)=-15+110
Simplify the result.
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To write -15 as a fraction with a common denominator, multiply by 22.
f(1)=-15⋅22+110
Write each expression with a common denominator of 10, by multiplying each by an appropriate factor of 1.
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Multiply 15 and 22.
f(1)=-25⋅2+110
Multiply 5 by 2.
f(1)=-210+110
f(1)=-210+110
Combine the numerators over the common denominator.
f(1)=-2+110
Add -2 and 1.
f(1)=-110
Move the negative in front of the fraction.
f(1)=-110
The final answer is -110.
-110
-110
The y value at x=1 is -110.
y=-110
y=-110
Create a table of the x and y values.
xy01101-110
xy01101-110
Graph the line using the slope and the y-intercept, or the points.
Slope: -15
y-intercept: 110
xy01101-110
Graph 8(5y+x)=4

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