If the line 3x - 4y + 12 = 0 is transformed to slope-intercept form, what is the slope?

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Q: If the line 3x - 4y + 12 = 0 is transformed to slope-intercept form, what is the slope?

Solution: Rearranging gives y = (3/4)x + 3, so the slope is -3/4.

Steps: 6

Step 1: Start with the equation of the line: 3x - 4y + 12 = 0.
Step 2: Move the term with x to the other side by subtracting 3x from both sides: -4y + 12 = -3x.
Step 3: Now, move the constant term (12) to the other side by subtracting 12 from both sides: -4y = -3x - 12.
Step 4: To isolate y, divide every term by -4: y = (3/4)x + 3.
Step 5: The equation is now in slope-intercept form (y = mx + b), where m is the slope.
Step 6: Identify the slope from the equation: the slope is 3/4.