Final answer:
To write the equation 3x-5y = 15 in slope-intercept form, you need to isolate y on one side of the equation. The equation y = (3/5)x - 3 represents the given equation in slope-intercept form.
Step-by-step explanation:
The given equation is 3x-5y = 15. To write it in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept, we need to isolate y on one side of the equation.
First, subtract 3x from both sides:
-5y = -3x + 15
Next, divide all terms by -5 to solve for y:
y = (3/5)x - 3
So, the equation 3x-5y = 15 in slope-intercept form is y = (3/5)x - 3.
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