Question

what is the slope of the line: 2y-2x=4

Explanation:

Step1: Convert to slope - intercept form

The slope - intercept form of a line is $y = mx + b$, where $m$ is the slope and $b$ is the y - intercept. We start with the equation $2y-2x = 4$. First, we add $2x$ to both sides of the equation:
$2y-2x + 2x=2x + 4$
Simplifying the left - hand side, we get $2y=2x + 4$.

Step2: Solve for y

We divide each term in the equation $2y = 2x+4$ by 2:
$\frac{2y}{2}=\frac{2x}{2}+\frac{4}{2}$
Simplifying each term, we have $y=x + 2$.
In the slope - intercept form $y=mx + b$, comparing $y=x + 2$ with $y = mx + b$, we see that $m = 1$.

Answer:

1