Graph 4y-12=7x

Math
4y-12=7x
Solve for y.
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Add 12 to both sides of the equation.
4y=7x+12
Divide each term by 4 and simplify.
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Divide each term in 4y=7x+12 by 4.
4y4=7×4+124
Cancel the common factor of 4.
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Cancel the common factor.
4y4=7×4+124
Divide y by 1.
y=7×4+124
y=7×4+124
Divide 12 by 4.
y=7×4+3
y=7×4+3
y=7×4+3
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=74
b=3
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: 74
y-intercept: 3
Slope: 74
y-intercept: 3
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)=7(0)4+3
Simplify the result.
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Multiply 7 by 0.
f(0)=04+3
Divide 0 by 4.
f(0)=0+3
Add 0 and 3.
f(0)=3
The final answer is 3.
3
3
The y value at x=0 is 3.
y=3
y=3
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)=7(1)4+3
Simplify the result.
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Multiply 7 by 1.
f(1)=74+3
To write 3 as a fraction with a common denominator, multiply by 44.
f(1)=74+3⋅44
Combine 3 and 44.
f(1)=74+3⋅44
Combine the numerators over the common denominator.
f(1)=7+3⋅44
Simplify the numerator.
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Multiply 3 by 4.
f(1)=7+124
Add 7 and 12.
f(1)=194
f(1)=194
The final answer is 194.
194
194
The y value at x=1 is 194.
y=194
y=194
Create a table of the x and y values.
xy031194
xy031194
Graph the line using the slope and the y-intercept, or the points.
Slope: 74
y-intercept: 3
xy031194
Graph 4y-12=7x

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