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.
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.
- Start by plotting the two points (1, -3) and (3, 5) on the graph.
- 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.
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