The constant of variation is the same as the slope of a line that goes through the point (0,0).

Question

True

False

Answer 1

True.

The constant of variation refers to the constant \( k \) in a direct variation equation \( y = kx \). When graphed, this line will pass through the origin, (0,0). The slope of this line is also equal to \( k \). Therefore, the constant of variation is indeed the same as the slope of the line that goes through the point (0,0).