SOLUTION: I have to find the slope of this line and I know how to find slope but im not sure how to get slope from what they give me on this problem. through (-0.5, 0.5), perpendicular t

Algebra ->  Linear-equations -> SOLUTION: I have to find the slope of this line and I know how to find slope but im not sure how to get slope from what they give me on this problem. through (-0.5, 0.5), perpendicular t      Log On


   

Question 99227: I have to find the slope of this line and I know how to find slope but im not sure how to get slope from what they give me on this problem.
through (-0.5, 0.5), perpendicular to y = -2x - 4
I tried to plug the numbers into the slope formula but its not working out all that good. I'm pretty sure the slope of y = -2x - 4 is -2 but would that be the answer to the entire problem? Can you please help me out ???
Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
Y=-2X-4 THIS LINE HAS A SLOPE OF (-2). (RED LINE)
A PERPENDICULAR LINE TO THIS LINE HAS A SLOPE OF (1/2 OR .5) THE NEGATIVE RECIPROCAL OF THE OTHER LINE.
NOW REPLACE THEX & Y TERMS IN THE LINE EQUATION[Y=mN+b BY ONE SET OF (X,Y) POINTS & THE SLOPE VALUE OF .5 7 SOLVE FOR THE Y INTERCEPT (b). THUS:
.5=.5*-.5+b
.5=-.25+b
b=.5+.25
b=.75 SO THE EQUATION FOR THIS LINE IS :
Y=.5X+.75 (GREEN LINE)
+graph%28+300%2C+300%2C+-6%2C+5%2C+-6%2C+5%2C+y+=+-2x+-4%2C+y+=+.5x+%2B.75%29+ (graph 300x300 pixels, x from -6 to 5, y from -6 to 5, of TWO functions y = -2x -4 and y = .5x +.75).