Question

Re-write in slope-intercept form of an equation: x- 2y = 4

Answer 1

The final equation is
`\bold{y=-(1)/(2)x -2}`.

Explanation:

To rewrite an equation in slope-intercept form, our equation must be in
`\text{y = mx + b}` 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.

`\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 = -(1)/(2)x - 2} \ \ \text{When we divide by two, we get this.}`

And then, we're done! Our final answer is
`y=-(1)/(2)x -2`.