Graph f(x)=(7x-2)/3

Math
f(x)=7x-23
Rewrite the function as an equation.
y=7x-23
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
Simplify 7x-23.
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Split the fraction 7x-23 into two fractions.
y=7×3+-23
Move the negative in front of the fraction.
y=7×3-23
y=7×3-23
Rewrite in slope-intercept form.
y=73x-23
y=73x-23
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=73
b=-23
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: 73
y-intercept: -23
Slope: 73
y-intercept: -23
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 2 to substitute in for x to find the ordered pair.
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Replace the variable x with 2 in the expression.
f(2)=7(2)-23
Simplify the result.
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Simplify the numerator.
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Multiply 7 by 2.
f(2)=14-23
Subtract 2 from 14.
f(2)=123
f(2)=123
Divide 12 by 3.
f(2)=4
The final answer is 4.
4
4
The y value at x=2 is 4.
y=4
y=4
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)=7(0)-23
Simplify the result.
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Simplify the numerator.
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Multiply 7 by 0.
f(0)=0-23
Subtract 2 from 0.
f(0)=-23
f(0)=-23
Move the negative in front of the fraction.
f(0)=-23
The final answer is -23.
-23
-23
The y value at x=0 is -23.
y=-23
y=-23
Create a table of the x and y values.
xy0-2324
xy0-2324
Graph the line using the slope and the y-intercept, or the points.
Slope: 73
y-intercept: -23
xy0-2324
Graph f(x)=(7x-2)/3

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