To convert the equation x + 2y = 8 into slope-intercept form (y = mx + b), we need to isolate y on one side of the equation.
Here are the steps to do this:
- Start with the original equation: x + 2y = 8.
- Subtract x from both sides to get 2y = 8 – x.
- Next, we want to solve for y by dividing every term by 2: y = (8 – x) / 2.
- We can simplify this further: y = 4 – 0.5x.
Now, the equation is in slope-intercept form: y = -0.5x + 4.
From this, we can see that the slope (m) is -0.5 and the y-intercept (b) is 4.