Line is graphed in the xy-plane below.
If line is translated up 5 units and right 7 units, then what is the slope of the new line?
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Choice B is correct. The slope of a line can be determined by finding the difference in the y-coordinates divided by the difference in the x-coordinates for any two points on the line. Using the points indicated, the slope is Translating the line moves all the points on the line the same distance in the same direction, and the image will be a parallel line. Therefore, the slope of the image is
Choice A is not the correct answer. This value may result from a combination of errors. The student may misunderstand how the negative sign affects the fraction and apply the transformation as
Choice C is not the correct answer. This value may result from finding the slope of the line and then subtracting 5 from the numerator and 7 from the denominator.
Choice D is not the correct answer. This answer may result from adding to the slope of the line.
Students must make a connection between the graphical form of a relationship and a numerical description of a key feature.