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The points (−7,0)(-7,0) and (−6,n)(-6,n) fall on a line with a slope of −7-7. What is the value of nn?\newlinen = ____

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Full solution

Q. The points (−7,0)(-7,0) and (−6,n)(-6,n) fall on a line with a slope of −7-7. What is the value of nn?\newlinen = ____
  1. Understand slope concept: Understand the concept of slope. The slope of a line is the ratio of the change in the yy-coordinate to the change in the xx-coordinate between two points on the line. The formula for slope (mm) is: m=y2−y1x2−x1m = \frac{y_2 - y_1}{x_2 - x_1}
  2. Apply slope formula: Apply the slope formula to the given points and slope.\newlineWe are given the slope m=−7m = -7, and two points (−7,0)(-7,0) and (−6,n)(-6,n). Let's denote (−7,0)(-7,0) as (x1,y1)(x_1, y_1) and (−6,n)(-6,n) as (x2,y2)(x_2, y_2). Plugging these into the slope formula gives us:\newline−7=n−0−6−(−7)-7 = \frac{n - 0}{-6 - (-7)}
  3. Simplify equation and solve: Simplify the equation and solve for nn.−7=n(−6+7)-7 = \frac{n}{(-6 + 7)}−7=n1-7 = \frac{n}{1}Now, multiply both sides by 11 to isolate nn:n=−7×1n = -7 \times 1n=−7n = -7

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