Question

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

Explanation:

The equation \( y = \frac{4}{3}x \) is in the form of a linear equation \( y = mx \) (where \( m=\frac{4}{3} \) is the slope), and the graph of a proportional relationship (which this equation represents, as it passes through the origin and has a constant ratio) is a straight line. A circle has the equation \( (x - a)^2+(y - b)^2 = r^2 \), a point is a single coordinate, and a curve is a more general term that can include non - linear graphs, but this is a linear graph.

Answer:

line