SOLUTION: Find the equation of a line that is perpendicular to 3x+2y=12 and passes through the point (0,2)
Algebra.Com
Question 82754: Find the equation of a line that is perpendicular to 3x+2y=12 and passes through the point (0,2)
Answer by checkley75(3666) (Show Source): You can put this solution on YOUR website!
3x+2y=12
2y=-3x+12
y=-3x/2-12/2
y=-3x/2-6 this line has a slope of -3/2 therefore the perpendicular line has a slope of the negative reciprical or 2/3.
the the equation for this perpendicular line passing through (0,2) is:
2=2/3*0+b
2=b the y intercept.
thus the line formula is:
y=2x/3+2
RELATED QUESTIONS
Find the equation of a line passes through the point (-8,4) and is perpendicular to the... (answered by checkley77)
Find the equation of the line that passes through the point (4, -1) and is perpendicular (answered by solver91311)
The equation of a straight line AC is 2y=-3x+6. Given the point A(-2,6) and AB:BC = 2:5.... (answered by greenestamps)
Find the equation of the line that passes through the point (2, ‐2) and is... (answered by Fombitz)
Write the equation of a line that passes through the point 7,1 and is perpendicular to 7x (answered by Alan3354)
I need help on this question:
The equation of a straight line AC is 2y = -3x + 6. Given... (answered by josgarithmetic)
write the equation of the line that passes through the point (2, -4) and is perpendicular (answered by rothauserc,greenestamps)
an equation of the line that is perpendicular to 3X+6Y=12 and passes through the point... (answered by mananth)
find the equation of a line that is perpindicular to the line 3x+2y=12 and passes through (answered by Greenfinch)