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

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

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Full solution

Q. Put the following equation of a line into slope-intercept form, simplifying all fractions.\newliney−x=6 y-x=6 \newlineAnswer:
  1. Isolate yy with xx: To convert the equation into slope-intercept form, we need to solve for yy. The slope-intercept form is y=mx+by = mx + b, where mm is the slope and bb is the y-intercept.
  2. Simplify the equation: Add xx to both sides of the equation y−x=6y - x = 6 to isolate yy on one side.\newliney−x+x=6+xy - x + x = 6 + x\newlineThis simplifies to y=x+6y = x + 6.
  3. Check for slope-intercept form: Check the equation to ensure it is in slope-intercept form. The equation y=x+6y = x + 6 has a slope (mm) of 11 and a yy-intercept (bb) of 66, which matches the form y=mx+by = mx + b.

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