Question 133219
What is the slope of the line through the two given points? 

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

What can you say about the slopes of lines that are parallel? 
Parallel lines have the same slope.

What is the equation of a line with slope 3/2 passing through the origin?
y-intercept is 0, so the equation is
{{{ y = 3x/2 + 0 }}}
{{{ y = 3x/2}}}


{{{graph(600, 400, -10, 10, -10 ,10 , 3x/2, 3x/2 +6)}}}