Q. Find the slope of the line containing the points (6,−5) and (−8,8).□
Identify Points: Identify the given points.We have two points: Point 1(x1,y1)=(6,−5) and Point 2(x2,y2)=(−8,8).We will use these points to calculate the slope of the line.
Use Slope Formula: Use the slope formula.The slope m of a line passing through two points (x1,y1) and (x2,y2) is given by the formula:m=x2−x1y2−y1
Plug in Values: Plug in the values from the points into the slope formula.m=−8−68−(−5)
Simplify Numerator and Denominator: Simplify the numerator and the denominator.m=−8−68+5m=−1413
Simplify Fraction: Simplify the fraction to get the slope. m=−1413This is the slope of the line containing the points (6,−5) and (−8,8).
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