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Line vv has an equation of y=8x+2y = 8x + 2. Line ww is parallel to line vv and passes through (1,2)(-1,-2). What is the equation of line ww?\newlineWrite the equation in slope-intercept form.

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Q. Line vv has an equation of y=8x+2y = 8x + 2. Line ww is parallel to line vv and passes through (1,2)(-1,-2). What is the equation of line ww?\newlineWrite the equation in slope-intercept form.
  1. Slope Match: Line ww is parallel to line vv. Do their slopes match? Yes, parallel lines have the same slope.
  2. Equation of Line v: Equation of line v: \newliney=8x+2y = 8x + 2\newlineFind the slope of line v.\newlineCompare y=8x+2y = 8x + 2 with y=mx+by = mx + b.\newlinem=8m = 8\newlineSlope of line v: 88
  3. Slope of Line vv: Line ww is parallel to vv.\newlineSlope of line vv: 88\newlineFind the slope of line ww.\newlineSince line ww is parallel to line vv, its slope is also 88.\newlineSlope of line ww: 88
  4. Slope of Line w: For line w: \newlineSlope mm: 88 \newlinePoint: (1,2)(-1, -2) \newlinePlug these values in y=mx+by = mx + b to find the y-intercept of line w.\newline2=8(1)+b-2 = 8(-1) + b \newline2=8+b-2 = -8 + b\newlineb=2+8b = -2 + 8\newlineb=6b = 6
  5. Y-Intercept of Line w: For line w: \newlineSlope mm: 88 \newliney-intercept bb: 66 \newlineWhat is the equation of the line w in slope-intercept form?\newlineSubstitute 88 for mm and 66 for bb in y=mx+by = mx + b. \newliney=8x+6y = 8x + 6

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