Question

A graph is a straight line through the point (0, 5). Can the graph represent a proportional relationship? Explain.

Answer 1

Answer:

The graph cannot represent a proportional relationship

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $k=\frac{y}{x}$ or $y=kx$

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin  (0,0)

That means----> The x-intercept and the y-intercept of the line must to be the origin (0,0)

If the given line passes through the point (0,5), then the line not passes through the origin

therefore

The graph cannot represent a proportional relationship