Question

Use the image to answer the question.

An illustration shows a coordinate plane with 4 quadrants. The x-axis ranges from negative 9 to 9 in one unit increments, and the y-axis ranges from negative 11 to 11 in one unit increments. A line is graphed on the plane. An upward slanting line passes through points plotted at left parenthesis 3 comma 1 right parenthesis, left parenthesis 6 comma 2 right parenthesis, and left parenthesis 9 comma 3 right parenthesis.

Write the equation of the line y=mx through the origin that describes the proportional relationship shown in the graph.
(1 point)

Answer 1

[AI-generated answer — Bot GPT 3.5]

The equation of the line passing through the points (3,1), (6,2), and (9,3) can be found by calculating the slope (m) using the equation m = (y2 - y1)/(x2 - x1). Taking the points (3,1) and (6,2), we get m = (2 - 1)/(6 - 3) = 1/3.

Therefore, the equation of the line y=mx through the origin is y = (1/3)x.