# Find the X and Y Intercepts (2x+6)/(-6x+3)

Write as an equation.
Find the x-intercepts.
To find the x-intercept(s), substitute in for and solve for .
Solve the equation.
Rewrite the equation as .
Factor each term.
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Find the LCD of the terms in the equation.
Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.
Factor .
Factor.
Factor out of .
Factor out of .
Rewrite as .
Factor out of .
Remove unnecessary parentheses.
Combine exponents.
Factor out negative.
Multiply by .
The LCM is the smallest positive number that all of the numbers divide into evenly.
1. List the prime factors of each number.
2. Multiply each factor the greatest number of times it occurs in either number.
Since the LCM is the smallest positive number,
Since has no factors besides and .
is a prime number
The number is not a prime number because it only has one positive factor, which is itself.
Not prime
The LCM of is the result of multiplying all prime factors the greatest number of times they occur in either number.
The factor for is itself.
occurs time.
The LCM of is the result of multiplying all factors the greatest number of times they occur in either term.
The Least Common Multiple of some numbers is the smallest number that the numbers are factors of.
Multiply each term by and simplify.
Multiply each term in by in order to remove all the denominators from the equation.
Simplify .
Rewrite using the commutative property of multiplication.
Cancel the common factor of .
Cancel the common factor.
Rewrite the expression.
Multiply and .
Cancel the common factor of and .
Factor out of .
Rewrite as .
Factor out of .
Rewrite as .
Cancel the common factor.
Divide by .
Apply the distributive property.
Multiply by .
Apply the distributive property.
Multiply.
Multiply by .
Multiply by .
Simplify .
Apply the distributive property.
Multiply.
Multiply by .
Multiply by .
Multiply by .
Solve the equation.
Add to both sides of the equation.
Divide each term by and simplify.
Divide each term in by .
Cancel the common factor of .
Cancel the common factor.
Divide by .
Divide by .
x-intercept(s) in point form.
x-intercept(s):
x-intercept(s):
Find the y-intercepts.
To find the y-intercept(s), substitute in for and solve for .
Solve the equation.
Remove parentheses.
Simplify .
Cancel the common factor of and .
Factor out of .
Factor out of .
Factor out of .
Cancel the common factors.
Factor out of .
Factor out of .
Factor out of .
Cancel the common factor.
Rewrite the expression.
Simplify the numerator.
Multiply by .
Simplify the denominator.
Multiply by .
Divide by .
y-intercept(s) in point form.
y-intercept(s):
y-intercept(s):
List the intersections.
x-intercept(s):
y-intercept(s):
Find the X and Y Intercepts (2x+6)/(-6x+3)

Scroll to top