Question 111543
You need to use the two-point form of a line for the first part of the problem.
:
{{{y-y[1]=((y[1]-y[2])/(x[1]-x[2]))(x-x[1])}}}
:
{{{y-8=((8-(-1))/(-3.2-14.7))(x-(-3.2))}}}
:
And then simplify to the slope-intercept form
:
{{{y-8=-(9/17.9)(x+3.2)}}}
:
{{{y=-(9/17.9)x-(9/17.9)3.2+8)}}}
:
Parallel lines have equal slopes, and a line that passes through the origin has a y-intercept of 0, so:
:
{{{y=-(9/17.9)x}}} has the same slope and passes through the origin.