Graph 7x-5y=20

Math
7x-5y=20
Solve for y.
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Subtract 7x from both sides of the equation.
-5y=20-7x
Divide each term by -5 and simplify.
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Divide each term in -5y=20-7x by -5.
-5y-5=20-5+-7x-5
Cancel the common factor of -5.
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Cancel the common factor.
-5y-5=20-5+-7x-5
Divide y by 1.
y=20-5+-7x-5
y=20-5+-7x-5
Simplify each term.
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Divide 20 by -5.
y=-4+-7x-5
Dividing two negative values results in a positive value.
y=-4+7×5
y=-4+7×5
y=-4+7×5
y=-4+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 -4 and 7×5.
y=7×5-4
Rewrite in slope-intercept form.
y=75x-4
y=75x-4
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=-4
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: 75
y-intercept: -4
Slope: 75
y-intercept: -4
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)5-4
Simplify the result.
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Multiply 7 by 0.
f(0)=05-4
Divide 0 by 5.
f(0)=0-4
Subtract 4 from 0.
f(0)=-4
The final answer is -4.
-4
-4
The y value at x=0 is -4.
y=-4
y=-4
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)5-4
Simplify the result.
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Multiply 7 by 2.
f(2)=145-4
To write -4 as a fraction with a common denominator, multiply by 55.
f(2)=145-4⋅55
Combine -4 and 55.
f(2)=145+-4⋅55
Combine the numerators over the common denominator.
f(2)=14-4⋅55
Simplify the numerator.
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Multiply -4 by 5.
f(2)=14-205
Subtract 20 from 14.
f(2)=-65
f(2)=-65
Move the negative in front of the fraction.
f(2)=-65
The final answer is -65.
-65
-65
The y value at x=2 is -65.
y=-65
y=-65
Create a table of the x and y values.
xy0-42-65
xy0-42-65
Graph the line using the slope and the y-intercept, or the points.
Slope: 75
y-intercept: -4
xy0-42-65
Graph 7x-5y=20

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