Final answer:
To find the slope and y-intercept of 8x+4y=12, the equation is rewritten as y = -2x + 3, showing the slope is -2 and the y-intercept is 3.
Step-by-step explanation:
The question is asking for the slope and the y-intercept of the linear equation 8x+4y=12. To find these, we need to rewrite the equation in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.
First, solve for y:
- Subtract 8x from both sides: 4y = -8x + 12
- Divide all terms by 4 to solve for y: y = -2x + 3
From the equation y = -2x + 3, we can clearly see that the slope (m) is -2 and the y-intercept (b) is 3.