Answer:
The final equation is [tex]\bold{y=-\frac{1}{2}x -2}[/tex].
Step-by-step explanation:
To rewrite an equation in slope-intercept form, our equation must be in [tex]\text{y = mx + b}[/tex] form. This means the y-variable must be on the left side of the equation and the slope and y-intercept must be on the right side of the equation. We can do this by moving the equation around.
[tex]\text{y = mx + b \ \ This is the equation we want to reach.}\\\\\text{x - 2y = 4 \ \ This is what we are given.}\\\\\text{-2y = -x + 4 \ \ Move the x to the right by subtracting it from both sides.}\\\\{y = -\frac{1}{2}x - 2} \ \ \text{When we divide by two, we get this.}[/tex]
And then, we're done! Our final answer is [tex]y=-\frac{1}{2}x -2[/tex].
