SOLUTION: Find the equation, in standard form, with all integer coefficients, of the line perpendicular to x – 2y = 24 and passing through (1, 3).

Algebra ->  Linear-equations -> SOLUTION: Find the equation, in standard form, with all integer coefficients, of the line perpendicular to x – 2y = 24 and passing through (1, 3).      Log On


   

Question 153943: Find the equation, in standard form, with all integer coefficients, of the line perpendicular to x – 2y = 24 and passing through (1, 3).
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Perpendicular lines have slopes that are negative reciprocals of each other.
Let's find the slope of the first line.
Change it into slope-intercept form.
x-2y=24
-2y=24-x
y=%2824-x%29%2F-2
y=%281%2F2%29x-12
The slope of the first line is m=1%2F2
Since,
m%5B1%5Dm%5B2%5D=-1
%281%2F2%29m%5B2%5D=-1
m%5B2%5D=-2
Now use the point-slope form of a line with the slope qnd point (1,3),
y-3=-2%28x-1%29
y=-2x%2B2%2B3
y=-2x%2B5
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Let's check the solution graphically.