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A line has a slope of −2-2 and passes through the point (−3,8)(-3,8). Write its equation in slope-intercept form.\newlineWrite your answer using integers, proper fractions, and improper fractions in simplest form.

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Q. A line has a slope of −2-2 and passes through the point (−3,8)(-3,8). Write its equation in slope-intercept form.\newlineWrite your answer using integers, proper fractions, and improper fractions in simplest form.
  1. Identify Form: Identify the slope-intercept form of a linear equation. Slope-intercept form is y=mx+by = mx + b, where mm is the slope and bb is the y-intercept.
  2. Find Y-Intercept: Use the given slope and point to find the y-intercept bb.\newlineGiven slope m=−2m = -2 and point (−3,8)(-3, 8).\newlineSubstitute into the equation: 8=−2(−3)+b8 = -2(-3) + b.\newlineCalculate: 8=6+b8 = 6 + b.\newlineSolve for bb: b=8−6=2b = 8 - 6 = 2.
  3. Write Equation: Write the equation of the line using the slope and y-intercept.\newlineSubstitute m=−2m = -2 and b=2b = 2 into y=mx+by = mx + b.\newlineEquation: y=−2x+2y = -2x + 2.

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