Question

slopes of parallel lines
the graph shows four linear functions:

• ( f(x) = 2x )
• ( g(x) = 2x - 10 )
• ( h(x) = -\frac{2}{3}x )
• ( j(x) = \frac{2}{3}x + 10 )

study the linear functions graphed to complete each statement.
consider the two lines represented by the functions ( f(x) = 2x ) and ( g(x) = 2x - 10 ). to determine where the two lines intersect, you can set both functions equal to each other and solve.
( 2x = 2x - 10 )
( 2x - square = -10 )
( 0 = square )

the equation ( 2x = 2x - 10 ) (for ( f(x) = 2x ) and ( g(x) = dots ))
hint
enter the term that is subtracted from both sides of the equation
(icon of 1 of 2)
next (arrow button)

Explanation:

Step1: Analyze the equation

We start with the equation \(2x = 2x - 10\). To solve for \(x\), we need to get all the \(x\)-terms on one side and constants on the other.

Step2: Subtract \(2x\) from both sides

Subtracting \(2x\) from both sides of the equation \(2x = 2x - 10\) gives us \(2x - 2x=2x - 2x - 10\), which simplifies to \(0 = - 10\). The term subtracted from both sides is \(2x\).

Answer:

\(2x\)