Mathematics, 12.07.2019 16:00 raniacakes
Write the equation of a line perpendicular to 3x + 4y = 9 that passes through (8, - 4)
Answers: 1
![\bf 3x+4y=9\implies 4y=-3x+9\implies y=-\cfrac{3x+9}{4}\implies y=\stackrel{slope}{-\cfrac{3}{4}}x+\cfrac{9}{4} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{-\cfrac{3}{4}}\qquad \qquad \qquad \stackrel{reciprocal}{-\cfrac{4}{3}}\qquad \stackrel{negative~reciprocal}{+\cfrac{4}{3}}\implies \cfrac{4}{3}}](/tpl/images/0081/5008/c7573.png)
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Write the equation of a line perpendicular to 3x + 4y = 9 that passes through (8, - 4)...
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