Final answer:
The slope of the equation 2x+y=8 is -2, and the y-intercept is the point (0,8) after converting the equation to slope-intercept form.
Step-by-step explanation:
To determine the slope and y-intercept of the equation 2x+y=8, we need to rewrite the equation in slope-intercept form, which is y=mx+b, where m represents the slope and b represents the y-intercept.
Here's how we can transform the equation:
- Start with the original equation: 2x + y = 8
- Subtract 2x from both sides: y = -2x + 8
In the equation y = -2x + 8, the coefficient of x is -2. Therefore, the slope (m) is -2. The constant term is 8, which means the y-intercept (b) is at (0,8).