SOLUTION: Can you please help with this one: Draw L1 through (-4,0) and (0,6). What is the slope of any line parallel to L1? Draw L2 throught the origin and parallel to L1.

Algebra ->  Graphs -> SOLUTION: Can you please help with this one: Draw L1 through (-4,0) and (0,6). What is the slope of any line parallel to L1? Draw L2 throught the origin and parallel to L1.       Log On


   



Question 190816: Can you please help with this one:
Draw L1 through (-4,0) and (0,6). What is the slope of any line parallel to L1? Draw L2 throught the origin and parallel to L1.




Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!


Thru point SLope-Form,system%28m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29%29 we can compute for the slope thru 2 given points (-4,0) and (0,6).

But we'll do thru the graph by drawing a line thru the points:
--->


As you can see, we moved up or down "3" spaces and left or right "2" spaces as we get the slope. There's a rise of 3 and a run of 2.

It follows, Slope=m=DELTA%28y%29%2FDELTA%28x%29=rise%2Frun=3%2F2, Answer

Any parallel line to this will be the same slope, red%28m=m%5B1%5D%29


Drawing a line from the origin, parallel to the line above:

Thru point(0,0) with slope , m=3/2:
y=mx%2Bb
0=%283%2F2%29%280%29%2Bb
b=0, Y-Intercept

It follows, red%28y=%283%2F2%29x%29%2B0%29
---> red%28RED=L%5B2%5D%29; green%28GREEN=L%5B1%5D%29


Thank you,
Jojo