Question

The graph of a proportional relationship contains the point (8, 4). What is the corresponding equation? Enter your answer as a fraction in simplest form by filling in the boxes.

Answer 1

The corresponding equation for the graph of a proportional relationship with the point (8, 4) is y = (1/2)x.

Step-by-step explanation:

The given point (8, 4) represents a proportional relationship. In a proportional relationship, the ratio between the two quantities remains constant. To find the corresponding equation, we can use the formula y = kx, where y represents the dependent variable, x represents the independent variable, and k represents the constant of proportionality.

To find the value of k, we can substitute the given coordinates (8, 4) into the equation and solve for k:

4 = k * 8

Dividing both sides by 8, we get:

k = 4/8 = 1/2

Therefore, the corresponding equation for the given graph is y = (1/2)x.