Question

Vocabulary How is a ratio table used to graph equivalent ratios?



The first value in the ratio table always shows the number that is the slope of the line to be graphed.




The last value in the ratio table can always be used to find the y-intercept of the line to be graphed.




The values in the ratio table are used to write coordinate pairs for points on the graph.




The values in the ratio table can be multiplied by the slope of the line to find points on the graph.

Answer 1

Correct answer: The third statement only.

Explanation:
- True: "The values in the ratio table are used to write coordinate pairs for points on the graph."
A ratio table gives equivalent pairs (for example (1,2), (2,4), (3,6)), which become (x,y) coordinates you can plot.

- False: "The first value in the ratio table always shows the number that is the slope…"
The slope is the ratio y/x (or the change in y over change in x), not simply the first entry. In the example above the first values are 1, 2, 3 while the slope is 2.

- False: "The last value in the ratio table can always be used to find the y-intercept…"
You only get the y-intercept if one of the coordinate pairs has x = 0. A ratio table of equivalent ratios does not guarantee a pair with x = 0.

- False: "The values in the ratio table can be multiplied by the slope…"
To get equivalent ratios you multiply both parts of a ratio by a scaling factor, not by the slope itself.