SOLUTION:  Find the equation of the line that passes through the points (-3.2, 8) and (14.7, -1).  Find the equation of the line that is parallel to the line in a) and passes through the or

Algebra ->  Equations -> SOLUTION:  Find the equation of the line that passes through the points (-3.2, 8) and (14.7, -1).  Find the equation of the line that is parallel to the line in a) and passes through the or      Log On


   

Question 111543:  Find the equation of the line that passes through the points (-3.2, 8) and (14.7, -1).
 Find the equation of the line that is parallel to the line in a) and passes through the origin.
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
You need to use the two-point form of a line for the first part of the problem.
:
y-y%5B1%5D=%28%28y%5B1%5D-y%5B2%5D%29%2F%28x%5B1%5D-x%5B2%5D%29%29%28x-x%5B1%5D%29
:
y-8=%28%288-%28-1%29%29%2F%28-3.2-14.7%29%29%28x-%28-3.2%29%29
:
And then simplify to the slope-intercept form
:
y-8=-%289%2F17.9%29%28x%2B3.2%29
:
y=-%289%2F17.9%29x-%289%2F17.9%293.2%2B8%29
:
Parallel lines have equal slopes, and a line that passes through the origin has a y-intercept of 0, so:
:
y=-%289%2F17.9%29x has the same slope and passes through the origin.