What is the equation of the line perpendicular to the line 2x + 3y= -6 and having y-intercept 3?
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Answer:
2y = 3x + 6
Step-by-step explanation:
Slope of line 2x + 3y = -6 is -2/3 (m')
Let slope of other line be m"
If two lines are parallel, then the product of their slopes is -1
m'm"= -1
-2/3 .m" = -1
m" = 3/2
One point on this line is given, i.e., (0,3)
So, by Slope intercept form
y-y' = m"(x-x')
y-3 = 3/2 . (x-0)
2y - 6 = 3x
2y = 3x + 6
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