Graphing Proportional Relationships Practice

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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)

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To determine the equation of the line y=mx through the origin, we need to find the slope of the line. The slope (m) can be calculated using the formula:

m = (change in y) / (change in x)

By looking at the graph, we can see that the change in y is 1 and the change in x is 3 for each point. Therefore, the slope is:

m = 1 / 3

The equation of the line y=mx through the origin can be written as:

y = (1/3)x

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thx!

per marker

hi

Since the line passes through the origin, the y-intercept is 0.

To find the slope, m, we can use the formula:

m = (change in y / change in x)

From the given points, we can see that the change in y is 1 and the change in x is 3.

So,

m = 1/3

The equation of the line y=mx is y = 1/3x.

the answer to this question is 4

Q1. 5

Q2. 7
Q3. 6
Q4. 2 2 1
Q5. 3
Enjoy :3