Question

Find the slope the answer choices are: 1/9, 2/13, 1/4, or -1/-9

Answer 1

Answer: The exact slope is 1/9 (which is approximately equal to 0.111)

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Explanation:

The first point the line goes through is the point (0,4) as Square A has side lengths of 4 units.

The second point the line goes through is the point (9,5). Square A has side length of 4; square B has side length 5; so in total 4+5 = 9 is the x coordinate of this point. The y coordinate is 5 because this is the side length of square B

We have two points (0,4) and (9,5). Let's find the slope through these points. Use the slope formula

m = (y2 - y1)/(x2 - x1)
m = (5-4)/(9-0)
m = 1/9

The slope, as a fraction is 1/9
In decimal form, this is approximately equal to 0.111 (the '1's repeat forever)