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Let A = (−2, 5) and B = (5, −2).

  1. Find the distance between A and B.

    Plot the points and connect them. Then create a right triangle with segment AB as the hypotenuse.
    Use the Pythagorean Theorem to calculate the length of segment AB.

  2. Write the equation of the line passing through points A and B in point-slope form and slope-intercept form.

    1. Determine the slope: rise/run.
    2. Substitute a given point and the slope into the point-slope formula.
    3. Solve for y for the slope-intercept form.