Find the equation of the line that passes through the point left (-9,12) and is perpendicular to the line y=3/2x-1/2. Write the
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Y=mx+b
lines are parallels so m=2
y=2x+b
line passing through the point (4,2), so x=4 y=2
put these value in equation
2=2*4+b
2=8+b
b=2-8
b=-6
y=2x-6
Answer: y=2x-6
(verification on the picture)
lines are parallels so m=2
y=2x+b
line passing through the point (4,2), so x=4 y=2
put these value in equation
2=2*4+b
2=8+b
b=2-8
b=-6
y=2x-6
Answer: y=2x-6
(verification on the picture)
ANSWER
Quadrant IV
EXPLANATION
The given point have the x-coordinate to be positive and the y-coordinate to be negative.
In general, the point P(x,-y) lies in the fourth quadrant.
The reason is that, this quadrant contains the positive x-axis and the negative y-axis.
See attachment for diagram.
