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A line that includes the points (6,−4)(6,-4) and (0,w)(0,w) has a slope of −2-2. What is the value of ww?\newlinew=___w = \_\_\_

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Q. A line that includes the points (6,−4)(6,-4) and (0,w)(0,w) has a slope of −2-2. What is the value of ww?\newlinew=___w = \_\_\_
  1. Identify formula for slope: Step 11: Identify the formula for slope between two points (x1,y1)(x_1, y_1) and (x2,y2)(x_2, y_2). The formula is y2−y1x2−x1\frac{y_2 - y_1}{x_2 - x_1}. Here, we use the points (6,−4)(6, -4) and (0,w)(0, w).
  2. Plug values into formula: Step 22: Plug the values into the slope formula. Given the slope is −2-2, set up the equation: (−2)=(w−(−4))/(0−6)(-2) = (w - (-4)) / (0 - 6).
  3. Simplify the equation: Step 33: Simplify the equation. \newline−2=w+4−6-2 = \frac{w + 4}{-6}.
  4. Solve for w: Step 44: Solve for w. Multiply both sides by −6-6 to clear the fraction:\newline−2×−6=w+4-2 \times -6 = w + 4,\newline12=w+412 = w + 4.
  5. Subtract to isolate ww: Step 55: Subtract 44 from both sides to isolate ww:12−4=w12 - 4 = w,w=8w = 8.

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