Graph 7x-5y=28

Math
7x-5y=28
Solve for y.
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Subtract 7x from both sides of the equation.
-5y=28-7x
Divide each term by -5 and simplify.
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Divide each term in -5y=28-7x by -5.
-5y-5=28-5+-7x-5
Cancel the common factor of -5.
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Cancel the common factor.
-5y-5=28-5+-7x-5
Divide y by 1.
y=28-5+-7x-5
y=28-5+-7x-5
Simplify each term.
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Move the negative in front of the fraction.
y=-285+-7x-5
Dividing two negative values results in a positive value.
y=-285+7×5
y=-285+7×5
y=-285+7×5
y=-285+7×5
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 -285 and 7×5.
y=7×5-285
Rewrite in slope-intercept form.
y=75x-285
y=75x-285
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=75
b=-285
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: 75
y-intercept: -285
Slope: 75
y-intercept: -285
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 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)=7(3)5-285
Simplify the result.
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Multiply 7 by 3.
f(3)=215-285
Combine the numerators over the common denominator.
f(3)=21-285
Subtract 28 from 21.
f(3)=-75
Move the negative in front of the fraction.
f(3)=-75
The final answer is -75.
-75
-75
The y value at x=3 is -75.
y=-75
y=-75
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)5-285
Simplify the result.
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Multiply 7 by 2.
f(2)=145-285
Combine the numerators over the common denominator.
f(2)=14-285
Subtract 28 from 14.
f(2)=-145
Move the negative in front of the fraction.
f(2)=-145
The final answer is -145.
-145
-145
The y value at x=2 is -145.
y=-145
y=-145
Create a table of the x and y values.
xy2-1453-75
xy2-1453-75
Graph the line using the slope and the y-intercept, or the points.
Slope: 75
y-intercept: -285
xy2-1453-75
Graph 7x-5y=28

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