Graph y=4/7x-11

Math
y=47x-11
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=-11
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: 47
y-intercept: -11
Slope: 47
y-intercept: -11
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)7-11
Simplify the result.
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Multiply 4 by 0.
f(0)=07-11
Divide 0 by 7.
f(0)=0-11
Subtract 11 from 0.
f(0)=-11
The final answer is -11.
-11
-11
The y value at x=0 is -11.
y=-11
y=-11
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)7-11
Simplify the result.
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Multiply 4 by 3.
f(3)=127-11
To write -11 as a fraction with a common denominator, multiply by 77.
f(3)=127-11⋅77
Combine -11 and 77.
f(3)=127+-11⋅77
Combine the numerators over the common denominator.
f(3)=12-11⋅77
Simplify the numerator.
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Multiply -11 by 7.
f(3)=12-777
Subtract 77 from 12.
f(3)=-657
f(3)=-657
Move the negative in front of the fraction.
f(3)=-657
The final answer is -657.
-657
-657
The y value at x=3 is -657.
y=-657
y=-657
Create a table of the x and y values.
xy0-113-657
xy0-113-657
Graph the line using the slope and the y-intercept, or the points.
Slope: 47
y-intercept: -11
xy0-113-657
Graph y=4/7x-11

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