SOLUTION: i have a set of problems and i'm stuck on this one -Write the equation in slope -intercept form of the line that passes through point (4,2) and is perpendicular to the line y=3-

Algebra ->  Graphs -> SOLUTION: i have a set of problems and i'm stuck on this one -Write the equation in slope -intercept form of the line that passes through point (4,2) and is perpendicular to the line y=3-      Log On


   

Question 228304: i have a set of problems and i'm stuck on this one
-Write the equation in slope -intercept form of the line that passes through point (4,2) and is perpendicular to the line y=3-2x
im not quite sure how to do it, can you give me an example of how you would solve a problem this or the formula to solve it please
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
(4,2) and is perpendicular to the line
y=3-2x
y=-2x+3 this line has a slope=-2. (red line)
A perpendicular lne will habe a slope=1/2.
Y=mX+b
2=1/2*4+b
2=2+b
b=2-2
b=0
y=x/2 is this perpendicular line. (green line)
+graph%28+200%2C+200%2C+-6%2C+5%2C+-6%2C+5%2C+-2x+%2B3%2C+x%2F2%29+ (graph 200x200 pixels, x from -6 to 5, y from -6 to 5, of TWO functions -2x +3 and x/2).