How do you find another point on each line using slope and point given m=2/5; passes through (1,-4)?

1 Answer
Sep 4, 2016

You have to use the equation of the straight line with slope mm and intercept bb, y=mx+by=mx+b

Explanation:

Since m=2/5m=25 is given, the equation of the straight line given is y=2/5x+by=25x+b, where we have to still find bb. But we know that the line passes through the point (1,-4))(1,4)), so the coordinates of the point satisfy the line equation. That is:

-4=2/5 *1 +b4=251+b, and from this we know that b=-4-2/5=-22/5b=425=225

Thus the line equation is

y=2/5x-22/5y=25x225, and any point which coordinates satisfy the equation is on the line. For example if x=2x=2 then y=2/5 * 2 -22/5=-18/5y=252225=185, so we know that the point (2, -18/5)(2,185) is also on the line. Similarly (3,-16/5)(3,165) is on the line, etc.