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IXL - Equations of parallel an\newlineNew Tab\newlineByteLearn\newline×1+\times 1+\newline\leftarrow \rightarrow C \newline\quad-- ixl.com/math/geometry/equations-of-parallel-and-perpendicular-lines\newlinee 77 th Grade Science...\newlineMicrosoft Forms\newline(144144) Hot Wheels...\newline宜家VIMLE 维姆勒\mathbb{\text{宜家VIMLE 维姆勒}}..\newlineQuizizz Creator\newlineNew Tab\newlineGeoGebra - the w...\newlineResearch for Scien...\newlineGeometry - GeoG...\newlineAll Bookmarks\newlineMy IXL Learning Assessment Analytics\newlineHarry\newlineGeometry \newline> *** E. 55 Equations of parallel and perpendicular lines VEB\newlineYou have prizes to reveal! Go to your game board. \newlineX\newlineLine \newlinecc has an equation of \newliney=5x+3y=-5x+3. Parallel to line \newlinecc is line \newlinedd, which passes through the point \newline(2,6)(2,-6). What is the equation of line \newlinedd ?\newlineWrite the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.\newline\leftarrow11\newlineSubmit\newlineVideo (\leftarrow22)\newlineQuestions\newlineanswered\newline856856\newlineTime\newlineelapsed\newline\newline1111\newline1313\newline3535\newline\newlineHR\newlineMIN\newlineSEC\newline\newlineSmartscore\newlineout of 100100 ?\newline1717\newlinei99\newlineWork it out\newlineNot feeling ready yet? These can help:\newlineSlopes of parallel and perpendicular lines (8383) II\newlineEquations of lines (2626)\newlineLesson: Equations of parallel and perpendicular lines

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Q. IXL - Equations of parallel an\newlineNew Tab\newlineByteLearn\newline×1+\times 1+\newline\leftarrow \rightarrow C \newline\quad-- ixl.com/math/geometry/equations-of-parallel-and-perpendicular-lines\newlinee 77 th Grade Science...\newlineMicrosoft Forms\newline(144144) Hot Wheels...\newline宜家VIMLE 维姆勒\mathbb{\text{宜家VIMLE 维姆勒}}..\newlineQuizizz Creator\newlineNew Tab\newlineGeoGebra - the w...\newlineResearch for Scien...\newlineGeometry - GeoG...\newlineAll Bookmarks\newlineMy IXL Learning Assessment Analytics\newlineHarry\newlineGeometry \newline> *** E. 55 Equations of parallel and perpendicular lines VEB\newlineYou have prizes to reveal! Go to your game board. \newlineX\newlineLine \newlinecc has an equation of \newliney=5x+3y=-5x+3. Parallel to line \newlinecc is line \newlinedd, which passes through the point \newline(2,6)(2,-6). What is the equation of line \newlinedd ?\newlineWrite the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.\newline\leftarrow11\newlineSubmit\newlineVideo (\leftarrow22)\newlineQuestions\newlineanswered\newline856856\newlineTime\newlineelapsed\newline\newline1111\newline1313\newline3535\newline\newlineHR\newlineMIN\newlineSEC\newline\newlineSmartscore\newlineout of 100100 ?\newline1717\newlinei99\newlineWork it out\newlineNot feeling ready yet? These can help:\newlineSlopes of parallel and perpendicular lines (8383) II\newlineEquations of lines (2626)\newlineLesson: Equations of parallel and perpendicular lines
  1. Identify slope of line cc: Identify the slope of line cc. Since line dd is parallel to line cc, it will have the same slope.\newlineThe equation of line cc is y=5x+3y = -5x + 3, which is in slope-intercept form y=mx+by = mx + b, where mm is the slope.\newlineThe slope of line cc is 5-5.
  2. Use point-slope form: Use the point-slope form to write the equation of line dd. The point-slope form is yy1=m(xx1)y - y_1 = m(x - x_1), where mm is the slope and (x1,y1)(x_1, y_1) is a point on the line. We know the slope mm is 5-5 (from line cc) and the point (x1,y1)(x_1, y_1) is (2,6)(2, -6). Substitute the slope and the point into the point-slope form: y(6)=5(x2)y - (-6) = -5(x - 2).
  3. Simplify equation of line d: Simplify the equation of line d. \newliney+6=5(x2)y + 6 = -5(x - 2) simplifies to y+6=5x+10y + 6 = -5x + 10.\newlineSubtract 66 from both sides to get y=5x+106y = -5x + 10 - 6.\newliney=5x+4y = -5x + 4 is the equation of line d in slope-intercept form.

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