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Plot the points in the coordinate plane. Then, find the distance between the two points.2. A( 3, 4) and B(1, 1)3. R( 4, 2) and (9, 3)

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Solution

Sure, let's go step by step:

  1. Plotting the points:

    For point A(3,4), you move 3 units to the right on the x-axis and 4 units up on the y-axis.

    For point B(1,1), you move 1 unit to the right on the x-axis and 1 unit up on the y-axis.

    For point R(4,2), you move 4 units to the right on the x-axis and 2 units up on the y-axis.

    For the unnamed point (9,3), you move 9 units to the right on the x-axis and 3 units up on the y-axis.

  2. Finding the distance:

    The distance between two points (x1, y1) and (x2, y2) can be found using the distance formula: √[(x2-x1)² + (y2-y1)²]

    So, the distance between A(3,4) and B(1,1) is √[(1-3)² + (1-4)²] = √[(-2)² + (-3)²] = √[4 + 9] = √13 units.

    The distance between R(4,2) and (9,3) is √[(9-4)² + (3-2)²] = √[5² + 1²] = √[25 + 1] = √26 units.

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