The equation y = mx represents a linear function where m is the slope of the line. When m is greater than zero (m > 0), the graph of the equation exhibits certain characteristics.
1. Positive Slope: Since m is positive, the line inclines upwards from left to right. This means that as the value of x increases, the value of y also increases.
2. Y-Intercept: The graph intercepts the y-axis at the point (0, 0). This is because when x = 0, y is also 0. Thus, the origin is a key point on the line.
3. Quadrants: The line will reside in the first and third quadrants of the Cartesian plane, depending on the range of x. For positive values of x, the line stays in the first quadrant, while for negative values of x, it moves into the third quadrant, reflecting the linear nature.
Overall, the graph of y = mx where m > 0 is a straight line that rises through the origin with a positive slope, demonstrating a direct proportionality between x and y.