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 ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> 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 380608: 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 ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi,

Using the point-slope formula, m+=%28y%5B2%5D+-+y%5B1%5D%29%2F%28x%5B2%5D+-+x%5B1%5D%29to determine slope of L1

Points are (-4,0) and (0,6)which are the x and y intercepts 

  m = 6-0  / 0-(-4) = 6/4 = 3/2  

the standard slope-intercept form for an equation of a line is: y = mx + b  

where m is the slope and b the y-intercept.  Equation of L1 is y = (3/2)x + 6

Line2 parellel to L1 also has slope of 3/2

 y = 3/2x + b   L2 is to pass thru Pt(0,0) so b = 0

Equation of L2 is y = (3/2)x