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Find the slope of the line that passes through (1, -3) and (3, 5). Then graph the line.

Question

Find the slope of the line that passes through (1, -3) and (3, 5). Then graph the line.

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Solution

Sure, let's find the slope first. The formula for the slope (m) between two points (x1, y1) and (x2, y2) is:

m = (y2 - y1) / (x2 - x1)

Here, (x1, y1) is (1, -3) and (x2, y2) is (3, 5). So, substituting these values into the formula, we get:

m = (5 - (-3)) / (3 - 1) m = 8 / 2 m = 4

So, the slope of the line that passes through the points (1, -3) and (3, 5) is 4.

Now, let's graph the line.

  1. Start by plotting the two points (1, -3) and (3, 5) on the graph.
  2. Draw a line that passes through these two points.

Since the slope of the line is 4, for every 1 unit you move to the right from (1, -3), you move up 4 units. This will help you draw the line accurately.

Please note that I can't physically draw the line here, but I hope these instructions help you to do it yourself.

This problem has been solved

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