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. 

Find two points on the line 3y 2x =
6. Suggestion:
Find the y coordinates corresonding to x = 0 and x = 3.


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.

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.

The slope of
the perpendicular
line is the negative reciprocal of the above slope. 
i.e.

Deduce the slope of perpendicular line(i.e.
the dotted line).

Show work.

Find the equation of the
perpendicular line by using the
pointslope equation for a line.
