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Line uu has an equation of y=x+7y = -x + 7. Line vv is perpendicular to line uu and passes through (8,1)(-8,-1). What is the equation of line vv? \newlineWrite the equation in slope-intercept form.

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Q. Line uu has an equation of y=x+7y = -x + 7. Line vv is perpendicular to line uu and passes through (8,1)(-8,-1). What is the equation of line vv? \newlineWrite the equation in slope-intercept form.
  1. Perpendicular Lines Slopes: Line vv is perpendicular to line uu.\ Are their slopes the same or opposite reciprocals?\ Slopes of perpendicular lines are opposite reciprocals.
  2. Equation of Line u: Equation of line u: \newliney=x+7y = -x + 7\newlineFind the slope of line u.\newlineCompare y=x+7y = -x + 7 with y=mx+by = mx + b.\newlinem=1m = -1\newlineSlope of line u: 1-1
  3. Slope of Line vv: Line vv is perpendicular to uu.\newlineSlope of line uu: 1-1\newlineFind the slope of line vv.\newlineOpposite reciprocal of 1-1 is 11.\newlineSlope of line vv: 11
  4. Finding Y-Intercept: For line vv: \newlineSlope (mm): 11\newlinePoint: (8,1)(-8, -1)\newlinePlug these values in y=mx+by = mx + b and find the y-intercept.\newline1=1(8)+b-1 = 1*(-8) + b\newline1=8+b-1 = -8 + b\newlineb=1+8b = -1 + 8\newlineb=7b = 7
  5. Equation of Line v: For line v: \newlineSlope mm: 11\newliney-intercept bb: 77\newlineWhat is the equation of the line v in slope-intercept form?\newlineSubstitute 11 for mm and 77 for bb in y=mx+by = mx + b.\newliney=1x+7y = 1x + 7

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