Question 178536
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
:
Find the slope using the given coordinates: m = {{{(y2-y1)/(x2-x1)}}} 
x1=-4; y1=0
x2=0; y2=6
m = {{{(6-0)/(0-(-4))}}} = {{{6/(+4)}}} = {{{3/2}}}
:
find the equation by using the point/slope equation: y-y1 = m(x-x1)
y - 0 = {{{3/2}}}(x -(-4))
y = {{{3/2}}}(x + 4))
y = {{{3/2}}}x + 6
:
Graph this equation (L1):
{{{ graph( 300, 200, -6, 6, -4, 10, 1.5x+6) }}}
:
Parallel lines have the same slope {{{3/2}}} in this case
: 
The parallel line thru the origin (0,0) would be y = {{{3/2}}}x
add to the graph L2
{{{ graph( 300, 200, -6, 6, -4, 10, 1.5x+6, 1.5x) }}}