SOLUTION: L has y-intercept (0,2) and is perpendicular to the line with equation 2x- 3y= 6. Write the equation of the line passing through each of the given pair points. Whats the result in

Algebra.Com
Question 43350: L has y-intercept (0,2) and is perpendicular to the line with equation 2x- 3y= 6.
Write the equation of the line passing through each of the given pair points. Whats the result in solpe-intercept form ?

Answer by venugopalramana(3286)   (Show Source): You can put this solution on YOUR website!
L has y-intercept (0,2)...(X1,Y1)
HENCE EQN .IS
Y-Y1=M(X-X1)...WHERE M IS SLOPE
Y-2=M(X-0)=MX
and is perpendicular to the line with equation 2x- 3y= 6.
SLOPE OF THIS LINE......3Y=2X-6.....OR.....Y=2X/3-2.......
SLOPE =2/3
SLOPE OF PERPENDICULAR =M=-3/2
EQN.OF L IS
Y-2=-3X/2.........2Y-4=-3X.....3X+2Y-4=0
Write the equation of the line passing through each of the given pair points.
WHAT POINTS?
Whats the result in solpe-intercept form ?
Y=-1.5X+2

RELATED QUESTIONS

L has y-intercept (0, 2) and is perpendicular to the line with equation 2x - 3y =... (answered by mukhopadhyay)
L has y-intercept (0, 2) and is perpendicular to the line with equation 2x - 3y =... (answered by funmath)
L has y-intercept (0, 2) and is perpendicular to the line with equation 2x -3y... (answered by funmath)
L has y-intercept (0, 2) and is perpendicular to the line with equation 2x - 3y =... (answered by rapaljer)
Write the equation of the line L satisfying the given geometric conditions. L has... (answered by stanbon)
Write the equation of the line L satisfying the given geometric conditions. L has... (answered by jim_thompson5910)
L has y-intercept (0,2) and is perpendicular to the line with equation 2x-3y=6 Write... (answered by elima)
Write the equation of the line L satisfying the given geometric conditions L has... (answered by checkley71)
Write the equation of the line L if L has y-intercept (0,2) and is perpendicular to the... (answered by edjones)