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 1 comma 5 right parenthesis and left parenthesis 2 comma 10 right parenthesis.

The graph shows the proportional relationship. Derive the equation of the line y=mx through the origin.

(1 point)
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Answer 1

[AI-generated answer — Bot GPT 3.5]

The equation of the line can be found by calculating the slope (m) of the line, which is the change in y divided by the change in x between the two points.

m = (10 - 5) / (2 - 1) = 5 / 1 = 5

Since the line passes through the origin (0,0), the y-intercept (b) is 0. Therefore, the equation of the line y=mx through the origin is:

y = 5x