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Find the slope of the line that passes through the points (2, -3) and (3, 4).

Mathematics

ScanSolve AI Answer

Answer

7\text{7}

Step-by-step solution

4 steps

  1. Identify the coordinates of the given points.

    The two points are A(2,−3)A(2, -3) and B(3,4)B(3, 4).
    Let (x1,y1)=(2,−3)(x_1, y_1) = (2, -3) and (x2,y2)=(3,4)(x_2, y_2) = (3, 4).

  2. Apply the slope formula.

    The formula for the slope mm of a line passing through two points (x1,y1)(x_1, y_1) and (x2,y2)(x_2, y_2) is:

    m=y2−y1x2−x1m = \frac{y_2 - y_1}{x_2 - x_1}

  3. Substitute the coordinates into the formula.

    m=4−(−3)3−2m = \frac{4 - (-3)}{3 - 2}

  4. Simplify the expression.

    m=4+31m = \frac{4 + 3}{1} m=71m = \frac{7}{1} m=7m = 7

    The slope of the line joining points A and B is 7\text{7}.

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