Final answer:
The slope-intercept form of 10x + 5y = -25 is y = -2x - 5.
Step-by-step explanation:
To write the equation of a line in slope-intercept form, y = mx + b, we need to isolate y on one side of the equation. In this case, we have 10x + 5y = -25. To isolate y, we need to get rid of the x term by subtracting 10x from both sides of the equation. This gives us 5y = -10x - 25. Now, we can divide both sides by 5 to solve for y. This gives us y = -2x - 5, which is the slope-intercept form of the equation. Then, divide both sides by 5 to solve for "y," giving y = (-25 - 10x)/5. Further simplification results in y = -5 - 2x. Thus, the slope-intercept form is y = -2x - 5, where the slope is -2, and the y-intercept is -5.
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