crystalmarie200
crystalmarie200 crystalmarie200
  • 09-06-2022
  • Mathematics
contestada

What is the equation, in slope-intercept form, of the line
that is perpendicular to the given line and passes
through the point (2, -1)?

What is the equation in slopeintercept form of the line that is perpendicular to the given line and passes through the point 2 1 class=

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Medunno13
Medunno13 Medunno13
  • 10-06-2022

Answer: y=3x-7

Step-by-step explanation:

(2,2) and (-1,3) lie on the given line, so its slope is [tex]\frac{3-2}{-1-2}=-\frac{1}{3}[/tex]

Since perpendicular lines have slopes that are negative reciprocals, the slope of the given line is 3.

Substituting into point slope form,

[tex]y+1=3(x-2)\\y+1=3x-6\\\boxed{y=3x-7}[/tex]

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