SOLUTION: What is the equation of the line perpendicular to the line x-4y=6 through (3,5) in slope intercept form?
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Question 526780: What is the equation of the line perpendicular to the line x-4y=6 through (3,5) in slope intercept form?
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
The equation given for the first line is
The slope intercept for for the first line is
The slope of that line is
Slopes of perpendicular lines multiply to give you
so the slope of a perpendicular line will be
Maybe you could say that for a point (x,y) in the perpendicular line, the slope of the line passing through that point and (3,5) is
and work from there to the slope-intercept form.
Or maybe you are supposed to follow the recipe for the case when you have the slope and a point and write the point-slope form of the equation as
and work from there to the slope-intercept form:
Some teachers like to see you follow recipes for solving problems. Others enjoy seeing a variety of ways to solve a problem.
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