Eva, Carl, and Maria are computing the slope between pairs of points on the line shown below.
Eva finds the slope between the points (0,0) and (3,2). Carl finds the slope between the points (3,2) and (6,4). Maria finds the slope between the points (3,2) and (9,6). They have each drawn a triangle to help with their calculations (shown below).
Which student has drawn which triangle? Finish the slope calculation for each student.
Consider any two points (x1, y1) and (x2, y2)on the line shown above. If you draw a triangle like the triangles drawn by Eva, Carl, and Maria. What would be the slope between these two points? Why should this slope be the same as the slopes calculated by the three students?
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Eva finds the slope between the points (0,0) and (3,2). Carl finds the slope between the points (3,2) and (6,4). Maria finds the slope between the points (3,2) and (9,6). They have each drawn a triangle to help with their calculations (shown below).
Which student has drawn which triangle? Finish the slope calculation for each student.
Consider any two points (x1, y1) and (x2, y2)on the line shown above. If you draw a triangle like the triangles drawn by Eva, Carl, and Maria. What would be the slope between these two points? Why should this slope be the same as
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