Finite Math Examples

Find the x and y Intercepts y-3=6/5*(x-4)
Step 1
Find the x-intercepts.
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Step 1.1
To find the x-intercept(s), substitute in for and solve for .
Step 1.2
Solve the equation.
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Step 1.2.1
Rewrite the equation as .
Step 1.2.2
Multiply both sides of the equation by .
Step 1.2.3
Simplify both sides of the equation.
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Step 1.2.3.1
Simplify the left side.
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Step 1.2.3.1.1
Simplify .
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Step 1.2.3.1.1.1
Apply the distributive property.
Step 1.2.3.1.1.2
Combine and .
Step 1.2.3.1.1.3
Multiply .
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Step 1.2.3.1.1.3.1
Combine and .
Step 1.2.3.1.1.3.2
Multiply by .
Step 1.2.3.1.1.4
Move the negative in front of the fraction.
Step 1.2.3.1.1.5
Apply the distributive property.
Step 1.2.3.1.1.6
Cancel the common factor of .
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Step 1.2.3.1.1.6.1
Cancel the common factor.
Step 1.2.3.1.1.6.2
Rewrite the expression.
Step 1.2.3.1.1.7
Cancel the common factor of .
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Step 1.2.3.1.1.7.1
Factor out of .
Step 1.2.3.1.1.7.2
Cancel the common factor.
Step 1.2.3.1.1.7.3
Rewrite the expression.
Step 1.2.3.1.1.8
Cancel the common factor of .
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Step 1.2.3.1.1.8.1
Move the leading negative in into the numerator.
Step 1.2.3.1.1.8.2
Cancel the common factor.
Step 1.2.3.1.1.8.3
Rewrite the expression.
Step 1.2.3.1.1.9
Cancel the common factor of .
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Step 1.2.3.1.1.9.1
Factor out of .
Step 1.2.3.1.1.9.2
Cancel the common factor.
Step 1.2.3.1.1.9.3
Rewrite the expression.
Step 1.2.3.2
Simplify the right side.
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Step 1.2.3.2.1
Simplify .
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Step 1.2.3.2.1.1
Subtract from .
Step 1.2.3.2.1.2
Cancel the common factor of .
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Step 1.2.3.2.1.2.1
Factor out of .
Step 1.2.3.2.1.2.2
Factor out of .
Step 1.2.3.2.1.2.3
Cancel the common factor.
Step 1.2.3.2.1.2.4
Rewrite the expression.
Step 1.2.3.2.1.3
Combine and .
Step 1.2.3.2.1.4
Simplify the expression.
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Step 1.2.3.2.1.4.1
Multiply by .
Step 1.2.3.2.1.4.2
Move the negative in front of the fraction.
Step 1.2.4
Move all terms not containing to the right side of the equation.
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Step 1.2.4.1
Add to both sides of the equation.
Step 1.2.4.2
To write as a fraction with a common denominator, multiply by .
Step 1.2.4.3
Combine and .
Step 1.2.4.4
Combine the numerators over the common denominator.
Step 1.2.4.5
Simplify the numerator.
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Step 1.2.4.5.1
Multiply by .
Step 1.2.4.5.2
Add and .
Step 1.3
x-intercept(s) in point form.
x-intercept(s):
x-intercept(s):
Step 2
Find the y-intercepts.
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Step 2.1
To find the y-intercept(s), substitute in for and solve for .
Step 2.2
Solve the equation.
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Step 2.2.1
Simplify .
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Step 2.2.1.1
Subtract from .
Step 2.2.1.2
Multiply .
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Step 2.2.1.2.1
Combine and .
Step 2.2.1.2.2
Multiply by .
Step 2.2.1.3
Move the negative in front of the fraction.
Step 2.2.2
Move all terms not containing to the right side of the equation.
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Step 2.2.2.1
Add to both sides of the equation.
Step 2.2.2.2
To write as a fraction with a common denominator, multiply by .
Step 2.2.2.3
Combine and .
Step 2.2.2.4
Combine the numerators over the common denominator.
Step 2.2.2.5
Simplify the numerator.
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Step 2.2.2.5.1
Multiply by .
Step 2.2.2.5.2
Add and .
Step 2.2.2.6
Move the negative in front of the fraction.
Step 2.3
y-intercept(s) in point form.
y-intercept(s):
y-intercept(s):
Step 3
List the intersections.
x-intercept(s):
y-intercept(s):
Step 4