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A line with a slope of 88 passes through the points (−3,7)(-3,7) and (−5,q)(-5,q). What is the value of qq?\newlineq=___q = \_\_\_

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Full solution

Q. A line with a slope of 88 passes through the points (−3,7)(-3,7) and (−5,q)(-5,q). What is the value of qq?\newlineq=___q = \_\_\_
  1. Identify Points and Slope: Step 11: Identify the points and slope.\newlinePoints: (−3,7)(-3, 7) and (−5,q)(-5, q)\newlineSlope: 88\newlineUse the slope formula: Slope =y2−y1x2−x1= \frac{y_2 - y_1}{x_2 - x_1}\newline8=q−7−5+38 = \frac{q - 7}{-5 + 3}
  2. Simplify Denominator and Solve: Step 22: Simplify the denominator and solve for qq.8=q−7−28 = \frac{q - 7}{-2}Multiply both sides by −2-2 to isolate qq.8×−2=(q−7)8 \times -2 = (q - 7)−16=q−7-16 = q - 7
  3. Solve for q: Step 33: Solve for q.\newline−16+7=q-16 + 7 = q\newlineq=−9q = -9

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