xXAngelaXx Group Title The equation of the line on the graph below is a direct variation equation. What is the constant of variation? one year ago one year ago

1. gabriel11 Group Title

The graph will have a straight line that passes through the origin (0,0). Direct variation means that as one variable increases the other increases in a proportional way. For example if x doubles then y doubles also though the actual increase may be different depending on the steepness of the line. Direct variation can also be negative. If a straight line slopes to the left then we say that y varies directly as the negative of x. In general then we should say that y varies directly as the absolute value of x. or y ~ |x|. If the line is a curve then even though y increases as x increases the variation is not direct but we may use the word direct in a different way. For example a parabola that shows y increasing as x increases and which passes through the origin would have the equation y = kx^2 (constant times x squared) and we would say that y varies directly as the square of x. But for your original question simple directly variation produces a straight line through the origin.

2. xXAngelaXx Group Title

A.$\frac{ 1 }{ 4 }$ B.$\frac{ 1 }{ 2 }$ C.$\frac{ 3 }{ 4 }$ D. 1

3. gabriel11 Group Title

b

4. xXAngelaXx Group Title

Thank you! ^-^