19-45x=14

Move all terms not containing x to the right side of the equation.

Subtract 19 from both sides of the equation.

-4×5=14-19

Subtract 19 from 14.

-4×5=-5

-4×5=-5

Multiply both sides of the equation by -54.

-54⋅(-4×5)=-54⋅-5

Simplify both sides of the equation.

Simplify -54⋅(-4×5).

Cancel the common factor of 5.

Move the leading negative in -54 into the numerator.

-54⋅(-4×5)=-54⋅-5

Move the leading negative in -4×5 into the numerator.

-54⋅-4×5=-54⋅-5

Factor 5 out of -5.

5(-1)4⋅-4×5=-54⋅-5

Cancel the common factor.

5⋅-14⋅-4×5=-54⋅-5

Rewrite the expression.

-14⋅(-4x)=-54⋅-5

-14⋅(-4x)=-54⋅-5

Cancel the common factor of 4.

Factor 4 out of -4x.

-14⋅(4(-x))=-54⋅-5

Cancel the common factor.

-14⋅(4(-x))=-54⋅-5

Rewrite the expression.

-1⋅(-x)=-54⋅-5

-1⋅(-x)=-54⋅-5

Multiply.

Multiply -1 by -1.

1⋅x=-54⋅-5

Multiply x by 1.

x=-54⋅-5

x=-54⋅-5

x=-54⋅-5

Multiply -54⋅-5.

Multiply -5 by -1.

x=5(54)

Combine 5 and 54.

x=5⋅54

Multiply 5 by 5.

x=254

x=254

x=254

x=254

Since x=254 is a vertical line, there is no y-intercept and the slope is undefined.

Slope: Undefined

y-intercept: No y-intercept

Graph 19-4/5x=14