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A line with a positive slope is parallel to one of the lines shown. What is its slope? Use the graph shown below.

A line with a positive slope is parallel to one of the lines shown. What is its slope-example-1
User Graham Lee
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2 Answers

1 vote

Answer:

Explanation:

Only the blue line has a positive slope. So the new line is parallel to the blue line.

Clearly, the blue line goes through the point (0, 3) (this is the y-intercept). Follow this blue line upward and to the right until it intersects the horizontal line at the top of the diagram. We must estimate the x-value of this point of intersection. A good approximation would be 5 1/3.

Now estimate the slope of the blue line. Starting at (0, 3), we move 5 1/3 units to the right (this is the "change in x," or "run") We end up at (5 1/3, 3).

Now, from the horizontal line y = 3 upward to the horizontal line at the very top of the graph, is 5 units. This is the "rise."

Thus, the approximate value of the slope here is

5 5 15

m = rise / run = ---------- = -------------- = ----------- = m

5 1/3 16/3 16

User Pranav Labhe
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4 votes

The slope is 0.75 as 3/4 = 0.75

User Armend
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