Final answer:
To write the equation 3x-5y+10=0 in slope-intercept form, we isolate y on one side by subtracting 3x and 10 from both sides and dividing by -5. The slope-intercept form of the equation is y = (3/5)x - 2.
Step-by-step explanation:
To write the given equation 3x-5y+10=0 in slope-intercept form (y = mx + b), we need to isolate y on one side of the equation. First, we can subtract 3x and 10 from both sides to get -5y = -3x - 10. Then, we divide both sides by -5 to solve for y, which gives us y = (-3/(-5))x + (-10/(-5)). Simplifying further, we have y = (3/5)x - 2.
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