Question

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

Answer 1

You have to use the equation of the straight line with slope `m` and intercept `b`, `y=mx+b`

Explanation:

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

`-4=2/5 *1 +b`, and from this we know that `b=-4-2/5=-22/5`

Thus the line equation is

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