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A line has a slope of 1010 and includes the points (2,−2)(2,-2) and (3,w)(3,w). What is the value of ww?\newlinew=___w = \_\_\_

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Full solution

Q. A line has a slope of 1010 and includes the points (2,−2)(2,-2) and (3,w)(3,w). What is the value of ww?\newlinew=___w = \_\_\_
  1. Identify slope formula: Step 11: Identify the formula for the slope between two points.\newlineThe slope formula is (y2−y1)/(x2−x1)(y_2 - y_1) / (x_2 - x_1). Here, we know the slope is 1010, and the points are (2,−2)(2, -2) and (3,w)(3, w).
  2. Substitute known values: Step 22: Substitute the known values into the slope formula.\newlineUsing the points (2,−2)(2, -2) as (x1,y1)(x_1, y_1) and (3,w)(3, w) as (x2,y2)(x_2, y_2), the formula becomes:\newline(10=w−(−2)3−2)(10 = \frac{w - (-2)}{3 - 2})
  3. Simplify and solve: Step 33: Simplify and solve for ww.10=w+210 = w + 2w=10−2w = 10 - 2w=8w = 8

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