Compare the intercepts of the graphs that show an additive relationship.
In a graph that shows an additive relationship, the intercepts represent the starting point or the initial value of the relationship.
If we have two variables x and y, an additive relationship suggests that the value of y is obtained by adding a constant value to the value of x. In this case, the intercept on the y-axis (also known as the y-intercept) represents the value of y when x is equal to zero.
Similarly, the intercept on the x-axis (also known as the x-intercept) represents the value of x when y is equal to zero.
Since the relationship is additive, the intercepts would be symmetrical. In other words, if the y-intercept is a, then the x-intercept would be -a.
For example, in the equation y = x + 2, we have an additive relationship where the constant value being added is 2. The y-intercept (when x=0) would be 2, and the x-intercept (when y=0) would be -2. This demonstrates the symmetrical nature of the intercepts in an additive relationship.