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Put the following equation of a line into slope-intercept form, simplifying all fractions. 3x+3y=24 Answer:

Put the following equation of a line into slope-intercept form, simplifying all fractions.\newline3x+3y=24 3 x+3 y=24 \newlineAnswer:

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Full solution

Q. Put the following equation of a line into slope-intercept form, simplifying all fractions.\newline3x+3y=24 3 x+3 y=24 \newlineAnswer:
  1. Subtract 3x3x: To convert the equation into slope-intercept form (y=mx+by=mx+b), we need to solve for y. Let's start by subtracting 3x3x from both sides of the equation.\newlineCalculation: 3y=24−3x3y = 24 - 3x
  2. Divide to isolate y: Now, we divide each term by 33 to isolate yy.\newlineCalculation: y=24−3x3y = \frac{24 - 3x}{3}
  3. Simplify by dividing: Simplify the equation by dividing each term inside the parentheses by 33.\newlineCalculation: y=243−(3x3)y = \frac{24}{3} - \left(\frac{3x}{3}\right)
  4. Final slope-intercept form: After simplifying the fractions, we get the final slope-intercept form.\newlineCalculation: y=8−xy = 8 - x

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