Write the standard form of the equation of the line that is perpendicular to the graph of the given equation and that passes through the point with the given coordinates... 10. 2x-y+6= 0; (0, -3) 11. 2x - 5y-6=0; (-4, 2) 12. 3x+4y - 13 = 0; (2,7)

Elementary Algebra
17th Edition
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:Lynn Marecek, MaryAnne Anthony-Smith
Chapter4: Graphs
Section4.6: Find The Equation Of A Line
Problem 4.136TI: Find an equation of a line that is perpendicular to the line y=5 that contains the point (4,5) .
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Write the standard form of the equation of the line that is
perpendicular to the graph of the given equation and that passes
through the point with the given coordinates...
10. 2x -y + 6 = 0; (0, -3) 11. 2x-5y-6=0; (-4, 2) 12. 3x +4-13= 0; (2, 7)
Transcribed Image Text:Write the standard form of the equation of the line that is perpendicular to the graph of the given equation and that passes through the point with the given coordinates... 10. 2x -y + 6 = 0; (0, -3) 11. 2x-5y-6=0; (-4, 2) 12. 3x +4-13= 0; (2, 7)
Expert Solution
Given

The given equation and points,

10. 2x-y+6=0 , 0,-311. 2x-5y-6=0, -4,212. 3x+4y-13=0, 2,7

The equation of line is of the form y=mx+c

where, m is the slope of the line

Perpendicular lines:

   If two lines are perpendicular then product of their slopes equal to -1

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Follow-up Question

Where did -12 for the slope and one half for the other slop for #10 come from?

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