Graph y=-4/7x+8

Math
y=-47x+8
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=-47
b=8
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: -47
y-intercept: 8
Slope: -47
y-intercept: 8
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)7+8
Simplify the result.
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Simplify each term.
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Cancel the common factor of 0 and 7.
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Factor 7 out of 4(0).
f(0)=-7(4⋅(0))7+8
Cancel the common factors.
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Factor 7 out of 7.
f(0)=-7(4⋅(0))7(1)+8
Cancel the common factor.
f(0)=-7(4⋅(0))7⋅1+8
Rewrite the expression.
f(0)=-4⋅(0)1+8
Divide 4⋅(0) by 1.
f(0)=-(4⋅(0))+8
f(0)=-(4⋅(0))+8
f(0)=-(4⋅(0))+8
Multiply 4 by 0.
f(0)=-0+8
Multiply -1 by 0.
f(0)=0+8
f(0)=0+8
Add 0 and 8.
f(0)=8
The final answer is 8.
8
8
The y value at x=0 is 8.
y=8
y=8
Choose 3 to substitute in for x to find the ordered pair.
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Replace the variable x with 3 in the expression.
f(3)=-4(3)7+8
Simplify the result.
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Multiply 4 by 3.
f(3)=-127+8
To write 8 as a fraction with a common denominator, multiply by 77.
f(3)=-127+8⋅77
Combine 8 and 77.
f(3)=-127+8⋅77
Combine the numerators over the common denominator.
f(3)=-12+8⋅77
Simplify the numerator.
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Multiply 8 by 7.
f(3)=-12+567
Add -12 and 56.
f(3)=447
f(3)=447
The final answer is 447.
447
447
The y value at x=3 is 447.
y=447
y=447
Create a table of the x and y values.
xy083447
xy083447
Graph the line using the slope and the y-intercept, or the points.
Slope: -47
y-intercept: 8
xy083447
Graph y=-4/7x+8

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