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Put the following equation of a line into slope-intercept form, simplifying all fractions. 3x+3y=-6 Answer:

Put the following equation of a line into slope-intercept form, simplifying all fractions.\newline3x+3y=−6 3 x+3 y=-6 \newlineAnswer:

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Full solution

Q. Put the following equation of a line into slope-intercept form, simplifying all fractions.\newline3x+3y=−6 3 x+3 y=-6 \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.\newline3x+3y−3x=−6−3x3x + 3y - 3x = -6 - 3x\newlineThis simplifies to:\newline3y=−3x−63y = -3x - 6
  2. Divide by 33: Now, we divide every term by 33 to isolate yy.3y3=−3x3−63\frac{3y}{3} = \frac{-3x}{3} - \frac{6}{3}This simplifies to:y=−x−2y = -x - 2
  3. Final Slope-Intercept Form: We have successfully put the equation into slope-intercept form, which is y=mx+by = mx + b, where mm is the slope and bb is the y-intercept.\newlineIn this case, the slope (mm) is −1-1 and the y-intercept (bb) is −2-2.

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