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Question
What is the slope of the line perpendicular to the line by y + -5x+9?
5
-5
1/5
-1/5
ANSWER : 2
Descrption
<p>here given, y = - 5x + 9</p> <p>we know, y = mx + c</p> <p>here, m = - 5 is slope</p> <p><span style = "color: #333333; font - family: 'Nunito Sans', 'Helvetica Neue', Helvetica, Arial, sans - serif; font - size: 16px; background - color: #ffffff;">The line perpendicular will have slope </span><span id = "MathJax - Element - 5 - Frame" class = "mjx - chtml MathJax_CHTML" style = "margin: 0px; padding: 1px 0px; border: 0px; font - variant: inherit; font - stretch: inherit; font - size: 17.6px; line - height: 0; font - family: inherit; vertical - align: baseline; display: inline - block; overflow - wrap: normal; word - spacing: normal; white - space: nowrap; float: none; direction: ltr; max - width: none; max - height: none; min - width: 0px; min - height: 0px;" tabindex = "0"><span id = "MJXc - Node - 36" class = "mjx - math" style = "margin: 0px; padding: 0px; border: 0px; font: inherit; vertical - align: baseline; display: inline - block; border - collapse: separate; border - spacing: 0px;"><span id = "MJXc - Node - 37" class = "mjx - mrow" style = "margin: 0px; padding: 0px; border: 0px; font: inherit; vertical - align: baseline; display: inline - block; box - sizing: content - box !important;"><span id = "MJXc - Node - 38" class = "mjx - mstyle" style = "margin: 0px; padding: 0px; border: 0px; font: inherit; vertical - align: baseline; display: inline - block; box - sizing: content - box !important;"><span id = "MJXc - Node - 39" class = "mjx - mrow" style = "margin: 0px; padding: 0px; border: 0px; font: inherit; vertical - align: baseline; display: inline - block; box - sizing: content - box !important;"><span id = "MJXc - Node - 40" class = "mjx - mi" style = "margin: 0px; padding: 0px; border: 0px; font: inherit; vertical - align: baseline; display: inline - block; box - sizing: content - box !important;"><span class = "mjx - char MJXc - TeX - math - I" style = "margin: 0px; padding: 0.23em 0px 0.287em; border: 0px; font - style: inherit; font - variant: inherit; font - weight: inherit; font - stretch: inherit; font - size: inherit; line - height: inherit; font - family: MJXc - TeX - math - I, MJXc - TeX - math - Ix, MJXc - TeX - math - Iw; vertical - align: baseline; display: block; white - space: pre; box - sizing: content - box !important;">m</span></span><span id = "MJXc - Node - 41" class = "mjx - mo" style = "margin: 0px; padding: 0px 0.167em 0px 0px; border: 0px; font: inherit; vertical - align: baseline; display: inline - block; box - sizing: content - box !important;"><span class = "mjx - char MJXc - TeX - sans - I" style = "margin: 0px; padding: 0.457em 0px 0.23em; border: 0px; font - style: inherit; font - variant: inherit; font - weight: inherit; font - stretch: inherit; font - size: inherit; line - height: inherit; font - family: MJXc - TeX - sans - I, MJXc - TeX - sans - Ix, MJXc - TeX - sans - Iw; vertical - align: baseline; display: block; white - space: pre; box - sizing: content - box !important;">'</span></span><span id = "MJXc - Node - 42" class = "mjx - mo" style = "margin: 0px; padding: 0px 0.333em; border: 0px; font: inherit; vertical - align: baseline; display: inline - block; box - sizing: content - box !important;"><span class = "mjx - char MJXc - TeX - main - R" style = "margin: 0px; padding: 0.06em 0px 0.344em; border: 0px; font - style: inherit; font - variant: inherit; font - weight: inherit; font - stretch: inherit; font - size: inherit; line - height: inherit; font - family: MJXc - TeX - main - R, MJXc - TeX - main - Rw; vertical - align: baseline; display: block; white - space: pre; box - sizing: content - box !important;"> = </span></span><span id = "MJXc - Node - 43" class = "mjx - mo" style = "margin: 0px; padding: 0px 0.267em; border: 0px; font: inherit; vertical - align: baseline; display: inline - block; box - sizing: content - box !important;"><span class = "mjx - char MJXc - TeX - main - R" style = "margin: 0px; padding: 0.287em 0px 0.401em; border: 0px; font - style: inherit; font - variant: inherit; font - weight: inherit; font - stretch: inherit; font - size: inherit; line - height: inherit; font - family: MJXc - TeX - main - R, MJXc - TeX - main - Rw; vertical - align: baseline; display: block; white - space: pre; box - sizing: content - box !important;">−</span></span><span id = "MJXc - Node - 44" class = "mjx - mfrac" style = "margin: 0px; padding: 0px; border: 0px; font: inherit; vertical - align: baseline; display: inline - block; box - sizing: content - box !important;"><span class = "mjx - box MJXc - stacked" style = "margin: 0px; padding: 0px 0.12em; border: 0px; font: inherit; vertical - align: baseline; display: inline - block; height: 0px; position: relative; width: 1.078em; box - sizing: content - box !important;"><span class = "mjx - numerator" style = "margin: 0px; padding: 0px; border: 0px; font: inherit; vertical - align: baseline; display: block; text - align: center; box - sizing: content - box !important; position: absolute; width: 1.078em; top: - 1.368em;"><span id = "MJXc - Node - 45" class = "mjx - mn" style = "margin: 0px; padding: 0px; border: 0px; font: inherit; vertical - align: baseline; display: inline - block; text - align: left; box - sizing: content - box !important;"><span class = "mjx - char MJXc - TeX - main - R" style = "margin: 0px; padding: 0.401em 0px 0.344em; border: 0px; font - style: inherit; font - variant: inherit; font - weight: inherit; font - stretch: inherit; font - size: inherit; line - height: inherit; font - family: MJXc - TeX - main - R, MJXc - TeX - main - Rw; vertical - align: baseline; display: block; white - space: pre; box - sizing: content - box !important;">1</span></span></span><span class = "mjx - denominator" style = "margin: 0px; padding: 0px; border: 0px; font: inherit; vertical - align: baseline; display: block; text - align: center; box - sizing: content - box !important; position: absolute; width: 1.078em; bottom: - 0.722em;"><span id = "MJXc - Node - 46" class = "mjx - mi" style = "margin: 0px; padding: 0px; border: 0px; font: inherit; vertical - align: baseline; display: inline - block; text - align: left; box - sizing: content - box !important;"><span class = "mjx - char MJXc - TeX - math - I" style = "margin: 0px; padding: 0.23em 0px 0.287em; border: 0px; font - style: inherit; font - variant: inherit; font - weight: inherit; font - stretch: inherit; font - size: inherit; line - height: inherit; font - family: MJXc - TeX - math - I, MJXc - TeX - math - Ix, MJXc - TeX - math - Iw; vertical - align: baseline; display: block; white - space: pre; box - sizing: content - box !important;">m</span></span></span></span></span><span id = "MJXc - Node - 47" class = "mjx - mo" style = "margin: 0px; padding: 0px 0.333em; border: 0px; font: inherit; vertical - align: baseline; display: inline - block; box - sizing: content - box !important;"><span class = "mjx - char MJXc - TeX - main - R" style = "margin: 0px; padding: 0.06em 0px 0.344em; border: 0px; font - style: inherit; font - variant: inherit; font - weight: inherit; font - stretch: inherit; font - size: inherit; line - height: inherit; font - family: MJXc - TeX - main - R, MJXc - TeX - main - Rw; vertical - align: baseline; display: block; white - space: pre; box - sizing: content - box !important;"> = - (</span></span><span id = "MJXc - Node - 48" class = "mjx - mo" style = "margin: 0px; padding: 0px 0.267em; border: 0px; font: inherit; vertical - align: baseline; display: inline - block; box - sizing: content - box !important;"><span class = "mjx - char MJXc - TeX - main - R" style = "margin: 0px; padding: 0.287em 0px 0.401em; border: 0px; font - style: inherit; font - variant: inherit; font - weight: inherit; font - stretch: inherit; font - size: inherit; line - height: inherit; font - family: MJXc - TeX - main - R, MJXc - TeX - main - Rw; vertical - align: baseline; display: block; white - space: pre; box - sizing: content - box !important;">−</span></span><span id = "MJXc - Node - 49" class = "mjx - mfrac" style = "margin: 0px; padding: 0px; border: 0px; font: inherit; vertical - align: baseline; display: inline - block; box - sizing: content - box !important;"><span class = "mjx - box MJXc - stacked" style = "margin: 0px; padding: 0px 0.12em; border: 0px; font: inherit; vertical - align: baseline; display: inline - block; height: 0px; position: relative; width: 0.7em; box - sizing: content - box !important;"><span class = "mjx - numerator" style = "margin: 0px; padding: 0px; border: 0px; font: inherit; vertical - align: baseline; display: block; text - align: center; box - sizing: content - box !important; position: absolute; width: 0.7em; top: - 1.368em;"><span id = "MJXc - Node - 50" class = "mjx - mn" style = "margin: 0px; padding: 0px; border: 0px; font: inherit; vertical - align: baseline; display: inline - block; text - align: left; box - sizing: content - box !important;"><span class = "mjx - char MJXc - TeX - main - R" style = "margin: 0px; padding: 0.401em 0px 0.344em; border: 0px; font - style: inherit; font - variant: inherit; font - weight: inherit; font - stretch: inherit; font - size: inherit; line - height: inherit; font - family: MJXc - TeX - main - R, MJXc - TeX - main - Rw; vertical - align: baseline; display: block; white - space: pre; box - sizing: content - box !important;">1</span></span></span><span class = "mjx - denominator" style = "margin: 0px; padding: 0px; border: 0px; font: inherit; vertical - align: baseline; display: block; text - align: center; box - sizing: content - box !important; position: absolute; width: 0.7em; bottom: - 0.733em;"><span id = "MJXc - Node - 51" class = "mjx - mn" style = "margin: 0px; padding: 0px; border: 0px; font: inherit; vertical - align: baseline; display: inline - block; text - align: left; box - sizing: content - box !important;"><span class = "mjx - char MJXc - TeX - main - R" style = "margin: 0px; padding: 0.401em 0px 0.344em; border: 0px; font - style: inherit; font - variant: inherit; font - weight: inherit; font - stretch: inherit; font - size: inherit; line - height: inherit; font - family: MJXc - TeX - main - R, MJXc - TeX - main - Rw; vertical - align: baseline; display: block; white - space: pre; box - sizing: content - box !important;">5</span></span></span></span></span></span></span></span></span>) = 1/5</span></p>
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