Visualize
the problem:
|
Find two points on the line
3y -2x = -6 and sketch the line.
Also, plot the point (4,-2).
Sketch the line through (4,-2) and perpendicular to 3y
-2x = -6. |
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Find two points on the line 3y -2x =
-6. Suggestion:
Find the y coordinates corresonding to x = 0 and x = 3.
|
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Plot these
two points and sketch the line passing through them.
Also plot the point (4,-2) and sketch the line through
(4,-2) and
perpendicular to 3y -2x = -6.
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| Continuing Strategy: |
1.Find the slope of the 3y -2x = - 6 (i.e. the solid
line)
2.Deduce the slope of the perpendicular line (i.e. the
dotted line).
3. Use the point slope formula to find the equation of
the perpendicular line. |
|
Find the
slope of the line 3y -2x = - 6 (i.e. the solid line in
the figure.) by solving this equation for y.
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The slope of
the perpendicular
line is the negative reciprocal of the above slope. -
i.e.
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Deduce the slope of perpendicular line(i.e.
the dotted line).
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Show work.
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Find the equation of the
perpendicular line by using the
point-slope equation for a line.
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