SOLUTION: What is an equation of the line that passes through the point (4,−3) and is perpendicular to the line 4x+y=3?

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Question 1154463: What is an equation of the line that passes through the point (4,−3) and is perpendicular to the line 4x+y=3?
Found 3 solutions by Alan3354, josgarithmetic, ikleyn:
Answer by Alan3354(69443)   (Show Source):
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What is an equation of the line that passes through the point (4,−3) and is perpendicular to the line 4x+y=3?
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Find the slope of the given line.
Lines perpendicular to have a slope that's the negative inverse.
Call that m.
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Use y - y1 = m*(x-x1) where (x1,y1) is the point (4,-3)

Answer by josgarithmetic(39617)   (Show Source):
You can put this solution on YOUR website!
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What is an equation of the line that passes through the point (h,k) and is perpendicular to the line Ax+By=C?
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Slope of the given line is .
Slope of the asked line to be perpendicular is .

If you want to start in point-slope equation form, then the line's equation being asked is ; and if you want in the form of Ax+By=C, then

Substitute your given values to answer your specific example.

Answer by ikleyn(52786)   (Show Source):
You can put this solution on YOUR website!
.

If you really want to learn the subject to such extent to be able to solve such problems on your own,
then specially for such enthusiastic learners I created the lesson
    - Equation for a straight line perpendicular to a given line and passing through a given point
in this site.

Moreover, there is a group of lessons that cover the entire subject
    - Find the slope of a straight line in a coordinate plane passing through two given points
    - Equation for a straight line having a given slope and passing through a given point
    - Solving problems related to the slope of a straight line
    - Equation for a straight line in a coordinate plane passing through two given points
    - Equation for a straight line parallel to a given line and passing through a given point
    - Equation for a straight line perpendicular to a given line and passing through a given point (*)
    - Advanced problems on finding equations for straight lines

    - OVERVIEW of lessons related to the slope of a straight line

Consider these lessons as your textbook, handbook, tutorials and (free of charge) home teacher.