SOLUTION: Draw l1 through (-4,0) and (0,6). What is the slope of any line parallel to l1? Draw l2 through the origin and parallel to l1.

Algebra ->  Graphs -> SOLUTION: Draw l1 through (-4,0) and (0,6). What is the slope of any line parallel to l1? Draw l2 through the origin and parallel to l1.       Log On


   

Question 91162: Draw l1 through (-4,0) and (0,6). What is the slope of any line parallel to l1? Draw l2 through the origin and parallel to l1.

Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
SLOPE OF L1=(6-0)/(0+4)=6/4=1.5
L1 IS 0=1.5*-4+b
0=-6+b
b=6
THUS THIS LINE EQUATION IS
Y=1.5X+6 (RED LINE)
THIS IS THE SLOPE OF ALL LINES PARALLEL TO L1.
THE ORIGIN HAS COORDINATES (0,0) SO IF WE REPLACE X&Y WITH 0&O WE GET THE LINE THROUGH (0,0) & PARALLEL TO L1.
0=1.5*0+b
b=0 THIS IS THE Y INTERCEPT
THUS THE EQUATION FOR L2 IS Y=1.5X (GREEN LINE) OR GRAPHED WE GET L1 & L2.
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+y+=+1.5x+%2B6%2C+y+=+1.5x%29+ (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions y = 1.5x +6 and y = 1.5x).