Question

20x+25y=1000

Answer 1

what do you need to do with the equation

Answer 2

Integer solutions?

Answer 3

\(\large\textbf{Integer solutions}\)
20x + 25y = 1000
4x + 5y = 200
One solution is x = 50, y = 0. Another solution can always be obtained by
letting the first term increase by 4 * 5 = 20 and the second decrease by the
same amount: x -> x + 5 and y -> y - 4; for example, (55, -4) is also a
solution.
\(\large\textbf{Slope}\)
Write it as y = (1000 - 20x) / 25 = 40 - 4/5 x to deduce that the slope is -4/5.
\(\large\textbf{Least distance to the origin}\)
We could intersect the line with its perpendicular through the origin.
\(\large\textbf{In what quadrances does it lie?}\)
Hmm..

Answer 4

Quadrants*