MHB Slope of Line Intersecting (2,2) & (6,7)

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To determine the slope of a line intersecting the points (2, 2) and (6, 7), the formula used is (y2 - y1) / (x2 - x1). Substituting the coordinates, the slope is calculated as (7 - 2) / (6 - 2), which simplifies to 5 / 4. This indicates that for every 4 units moved horizontally, the line rises 5 units vertically. The discussion emphasizes the importance of showing effort in problem-solving, particularly for students seeking help. Understanding how to calculate slope is fundamental in geometry and algebra.
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If a line intersects both points (2, 2) and (6, 7), determine its slope.
 
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With the possibility that some school students come in this forum and expect us to spoon feed the answers, here it is. Besides, one of the rules of this forum is that we need to show some effort! So here is my effort!
y = ax + b
a = dy/dx = (7 - 2)/(6 - 2) = 5/4
 
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