SOLUTION: Write the equation of the line L satisfying the given geometric conditions.
L has y-intercept (0, 2) and is perpendicular to the line with equation 2x-3y=6.
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Question 61558This question is from textbook
: Write the equation of the line L satisfying the given geometric conditions.
L has y-intercept (0, 2) and is perpendicular to the line with equation 2x-3y=6.
This question is from textbook
Answer by tutorcecilia(2152) (Show Source): You can put this solution on YOUR website!
Perpendicular lines have slopes that are negative reciprocals of each other.
Line # 1= 2x-3y=6 [re-write in the slope-intercept form by solving for y]
y=mx+b [slope-intercept form]
-3y=2x+6
y=-2/3-2
m=-2/3
.
Line #2 m=3/2 [the negative reciprocal of line #1.
y=mx+b [plug-in the point (0, 2) and the slope and solve for b]
2=(3/2)(0)+b
2=b
so, line # 1: y=(3/2)x+2
Graphing:
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