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Find the gradient of a line joining the points A(-4,-6) and B(6,8).

Mathematics

ScanSolve AI Answer

Answer

75\frac{7}{5}

Step-by-step solution

4 steps

  1. Identify the coordinates of the two given points.

    Let point A be (x1,y1)=(−4,−6)(x_1, y_1) = (-4, -6).
    Let point B be (x2,y2)=(6,8)(x_2, y_2) = (6, 8).

  2. Use the formula for the gradient (slope) of a line, m=y2−y1x2−x1m = \frac{y_2 - y_1}{x_2 - x_1}.

    m=8−(−6)6−(−4)m = \frac{8 - (-6)}{6 - (-4)}

  3. Simplify the numerator and the denominator.

    m=8+66+4m = \frac{8 + 6}{6 + 4} m=1410m = \frac{14}{10}

  4. Reduce the fraction to its simplest form.

    m=75m = \frac{7}{5}

    The gradient of the line joining points A and B is:

    75\frac{7}{5}
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