Is the ordered pair (0,0) a solution of the direct variation equation y=kx ?
well, plug it in.
Does 0 = k*0?
no
Of course 0=k*0, anything times 0 is 0.
To determine if the ordered pair (0,0) is a solution of the direct variation equation y=kx, we need to substitute the values of x and y into the equation and check if it holds true.
The direct variation equation is y=kx, where k is a constant of variation.
In this case, we have x=0 and y=0. Substituting these values into the equation, we get:
0 = k * 0
Since any number multiplied by 0 is 0, the equation simplifies to:
0 = 0
This equation is true, which means that the ordered pair (0,0) is indeed a solution of the direct variation equation y=kx.