Final answer:
The slope-intercept form for the equation 5x + 4y = -4 is y = -5/4x - 1. The steps include isolating 'y' and ensuring the equation follows the 'y = mx + b' format.
Step-by-step explanation:
To change the equation 5x + 4y = -4 to slope-intercept form (y = mx + b), you must solve for y. Here's how:
- First, subtract 5x from both sides of the equation to isolate 4y. This gives you 4y = -5x - 4.
- Then, divide each side of the equation by 4. You should get y = -5/4x - 1.
Therefore, the slope-intercept form of the equation is y = -5/4x - 1.
Learn more about Slope-intercept form