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Find the slope of the line graphed below.y12345-1-2-3-4-5x12345-1-2-3-4-5

Question

Find the slope of the line graphed below.y12345-1-2-3-4-5x12345-1-2-3-4-5

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Solution 1

To find the slope of the line graphed, follow these steps:

  1. Identify Two Points on the Line:

    • Look at the graph and choose two points that the line passes through. For example, let's say the line passes through the points (1, 2) and (3, 4).
  2. Label the Points:

    • Let the first point be (x1,y1)(x_1, y_1) and the second point be (x2,y2)(x_2, y_2).
    • For our example, (x1,y1)=(1,2)(x_1, y_1) = (1, 2) and (x2,y2)=(3,4)(x_2, y_2) = (3, 4).
  3. Use the Slope Formula:

    • The slope mm of a line passing through two points (x1,y1)(x_1, y_1) and (x2,y2)(x_2, y_2) is given by the formula: m=y2y1x2x1 m = \frac{y_2 - y_1}{x_2 - x_1}
  4. Substitute the Coordinates into the Formula:

    • Substitute (x1,y1)=(1,2)(x_1, y_1) = (1, 2) and (x2,y2)=(3,4)(x_2, y_2) = (3, 4) into the formula: m=4231 m = \frac{4 - 2}{3 - 1}
  5. Simplify the Expression:

    • Calculate the differences in the numerator and the denominator: m=22 m = \frac{2}{2}
    • Simplify the fraction: m=1 m = 1
  6. Conclusion:

    • The slope of the line is 11.

If you have a different graph with different points, you can follow the same steps using the coordinates of the points from that specific graph.

This problem has been solved

Solution 2

To find the slope of the line graphed below, we can use the formula for slope, which is given by the change in y divided by the change in x.

Looking at the graph, we can see that the line passes through the points (1, 1) and (5, 5).

The change in y is equal to 5 - 1 = 4, and the change in x is equal to 5 - 1 = 4.

Therefore, the slope of the line is 4/4 = 1.

Solution 3

To find the slope of the line graphed below, we can use the formula for slope, which is given by the change in y divided by the change in x.

Looking at the graph, we can see that the line passes through the points (1, 1) and (5, 5).

The change in y is equal to 5 - 1 = 4, and the change in x is equal to 5 - 1 = 4.

Therefore, the slope of the line is 4/4 = 1.

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