Q. A line with a slope of 8 passes through the points (−3,7) and (−5,q). What is the value of q?q=___
Identify Points and Slope: Step 1: Identify the points and slope.Points: (−3,7) and (−5,q)Slope: 8Use the slope formula: Slope =x2−x1y2−y18=−5+3q−7
Simplify Denominator and Solve: Step 2: Simplify the denominator and solve for q.8=−2q−7Multiply both sides by −2 to isolate q.8×−2=(q−7)−16=q−7
Solve for q: Step 3: Solve for q.−16+7=qq=−9
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