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A line that includes the points (7,2)(7,2) and (−2,u)(-2,u) has a slope of 11. What is the value of uu?\newlineu = ____

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Full solution

Q. A line that includes the points (7,2)(7,2) and (−2,u)(-2,u) has a slope of 11. What is the value of uu?\newlineu = ____
  1. Calculate Slope: We are given two points on the line: (7,2)(7, 2) and (−2,u)(-2, u), and the slope of the line is 11. We will use the slope formula to find the value of uu.\newlineSlope (m)=(y2−y1)(x2−x1)(m) = \frac{(y_2 - y_1)}{(x_2 - x_1)}\newline1=(u−2)(−2−7)1 = \frac{(u - 2)}{(-2 - 7)}
  2. Simplify and Solve: Now we will simplify the denominator and solve for uu.1=u−2−91 = \frac{u - 2}{-9}To get rid of the fraction, we multiply both sides by −9-9.1×(−9)=u−2−9×(−9)1 \times (-9) = \frac{u - 2}{-9} \times (-9)−9=u−2-9 = u - 2
  3. Isolate Variable: Next, we will isolate uu by adding 22 to both sides of the equation.−9+2=u−2+2-9 + 2 = u - 2 + 2−7=u-7 = u

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