Question

A linear equation has solutions (-5, 5), (0, 0), (5, -5). Write the equation

Answer 1

Let y = mx + c be the linear equation required.

Since it passes through origin (0,0); c=0

Since it passes through (-5,5); y=mx ⇒ -5 = m*5 ⇒m=-1

So the equation is y=-x

we can notice that the third point (5,-5) also passes through this line (i.e -5=-(5))