# Graph 2/7=x/21 27=x21
Solve for y.
Move x21 to the left side of the equation by subtracting it from both sides.
27-x21=0
Find the LCD of the terms in the equation.
To find the LCD of a set of numbers (27,-x21), find the LCM of the denominators.
LCM(7,21)
Calculate the LCM of first two denominators in the list, 7 and 21.
Find the values of the numerical part of each term. Select the largest one, which in this case is 21. Multiply them together to get the current total. In this case, the current total is 147.
Current Total = 147
Check each value in the numerical part of each term against the current total. Since the current total is evenly divisible, return it. That is the least common denominator of the numerical part of the fraction.
21
21
21
Multiply each term by 21 and simplify.
Multiply each term in 27-x21=0 by 21.
27⋅21-x21⋅21=0⋅21
Simplify each term.
Cancel the common factor of 7.
Factor 7 out of 21.
27⋅(7(3))-x21⋅21=0⋅21
Cancel the common factor.
27⋅(7⋅3)-x21⋅21=0⋅21
Rewrite the expression.
2⋅3-x21⋅21=0⋅21
2⋅3-x21⋅21=0⋅21
Multiply 2 by 3.
6-x21⋅21=0⋅21
Cancel the common factor of 21.
Move the leading negative in -x21 into the numerator.
6+-x21⋅21=0⋅21
Cancel the common factor.
6+-x21⋅21=0⋅21
Rewrite the expression.
6-x=0⋅21
6-x=0⋅21
6-x=0⋅21
Multiply 0 by 21.
6-x=0
6-x=0
Subtract 6 from both sides of the equation.
-x=-6
Multiply each term in -x=-6 by -1
Multiply each term in -x=-6 by -1.
(-x)⋅-1=(-6)⋅-1
Multiply (-x)⋅-1.
Multiply -1 by -1.
1x=(-6)⋅-1
Multiply x by 1.
x=(-6)⋅-1
x=(-6)⋅-1
Multiply -6 by -1.
x=6
x=6
x=6
Since x=6 is a vertical line, there is no y-intercept and the slope is undefined.
Slope: Undefined
y-intercept: No y-intercept
Graph 2/7=x/21     