SOLUTION: Find the equation of the line that passes through the point(8,-5) and is perpendicular to the line 4x-12y=6. According to the teacher the answer is: y=-3x+19, but I don't underst

Question 364877: Find the equation of the line that passes through the point(8,-5) and is perpendicular to the line 4x-12y=6. According to the teacher the answer is:
y=-3x+19, but I don't understand how.
Thankyou
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
First find the slope of the line.
Convert to slope-intercept form, is the slope.

Perpendicular lines have slopes that are negative reciprocals.

So the new line has the form,

Use the point (8,-5) to solve for ,

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