pickledStar
pickledStar pickledStar
  • 03-10-2020
  • Mathematics
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What is the equation of a line that passes through (1,2) and is perpendicular to the given line?​

What is the equation of a line that passes through 12 and is perpendicular to the given line class=

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Medunno13
Medunno13 Medunno13
  • 29-06-2022

The given line passes through (0,10) and (2,0), so its slope is

[tex]\frac{10-0}{0-2}=-5[/tex]

Since perpendicular lines have negative reciprocal slopes, the slope of the line we want to find is 1/5.

Substituting into point-slope form,

[tex]y-2=\frac{1}{5}(x-1)\\\\y-2=\frac{1}{5}x-\frac{1}{5}\\\\\boxed{y=\frac{1}{5}x+\frac{9}{5}}[/tex]

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