!!!! Please help I do not know how to start or work this out.
Suppose a line goes through the point (3,-7) and is parallel to the line passing through the points (-1,8) and (1,2). Write the equation of the line. Determine the intercepts of the line.

Question

!!!! Please help I do not know how to start or work this out.
Suppose a line goes through the point (3,-7) and is parallel to the line passing through the points (-1,8) and (1,2). Write the equation of the line. Determine the intercepts of the line.

anonymous · Answer

what is the slope of the line passing through  your two points?

anonymous · Answer

I got -3 but im not sure

knowledge · Answer

That is right. The slope of the line through (-1, 8) and (1,2) is -3.  Now that you know that is true and that the lines are parallel, you can plug it into this like this. $$y=mx+b$$

knowledge · Answer

Plug in what you know.  You know a point of the line you are trying to find.  You know the slope.  m is slope and you know x and y.  Therefore, you can plug those in and then solve for b.  Once you have b you have the y intercept.