Question

the equation $y = \frac{4}{3}x$ represents a proportional relationship. the graph of this equation is a ______? options: curve, line, circle, point

Explanation:

Step1: Identify equation type

The given equation is $y = \frac{4}{3}x$, which is a linear equation in the form $y=kx$ (a special case of $y=mx+b$ where $b=0$).

Step2: Match to graph shape

Linear equations with the form $y=kx$ graph as straight lines passing through the origin, representing a proportional relationship.

Answer:

line