SOLUTION: Please help me. What am I suppose to do? Write the equation of the line L satisfying the given geometric conditions. L has y-intercept (0, 2) and is perpendicular to the line wit

Algebra ->  Linear-equations -> SOLUTION: Please help me. What am I suppose to do? Write the equation of the line L satisfying the given geometric conditions. L has y-intercept (0, 2) and is perpendicular to the line wit      Log On


   

Question 73791: Please help me. What am I suppose to do?
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.
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
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.
Perpendicular lines have slopes that are negative reciprocals of each other (opposite signs and upside down), because of that if we multiply them we get -1.
The slope intecept form of a line is highlight%28y=mx%2Bb%29, where m=slope and (0,b) is the y-intercept.
If we put the equation they gave you in y-intercept form we can determine its slope.
2x-3y=6
-2x%2B2x-3y=-2x%2B6
-3y=-2x%2B6
-3y%2F-3=-2x%2F-3%2B6%2F-3
y=%282%2F3%29x-2 the slope, m=2/3
The slope of any line perpendicular to this one is: m=-3/2
Our line has a slope of m=-3/2 and a y-intercept of (0,b)=(0,2)
Plugging that into the slope intercept form y=mx+b, gives us:
highlight%28y=%28-3%2F2%29x%2B2%29
Happy Calculating!!!!