y = 2/3 x - 4

This relationship is Response area , but not proportional.

5 answers

This is a linear relationship, as the equation forms a straight line when graphed. However, it is not a proportional relationship because the ratio of y to x is not constant. Instead, it is in the form of y = mx + b, where m is the slope (2/3) and b is the y-intercept (-4).
To make this relationship proportional, we would shift the graph __
To make the relationship proportional, we would need to shift the graph through the origin (0,0). This means the y-intercept (b) should be 0. The equation in proportional form would be y = 2/3 x.
how much
To make the relationship proportional, we would shift the graph by an amount equal to the y-intercept. In this case, the y-intercept is -4. Therefore, to make the relationship proportional, we would shift the graph up by 4 units. The new equation in proportional form would be y = 2/3 x + 4.