Question

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Using the three indicated points on the given line and the concept of similar triangles, show and explain why the slope of the line is the same between any two of these three points. Calculate the slope of the line.

Answer 1

Slope = 3/2 or 1.5

Explanation:

(0,1) (2,4) (6,10)

Slopes:

(4-1)/(2-0) = 3/2

(10-4)/(6-2) = 6/4 = 3/2

(10-1)/(6-0) = 9/6 = 3/2

Any two points on the line will give the same slope because a straight line has a constant slope