The graphs which represents this situation, taking into account the given equation and substituting some values is: option B (attached graph).
How to identify the Graph obtained from a Formula?
To identify the form that a graph takes from a formula, it is enough to substitute the values of one of the variables, and identify the result that the other takes. For this exercise, the values of x will be substituted into the equation:
- [tex]y =\frac{3}{5}x + 2[/tex]
Now the values of x will be replaced by -1, 0, 1, and 2:
- [tex]y =\frac{3}{5}(-1) + 2[/tex]
- [tex]y =-\frac{3}{5}+ 2[/tex]
- [tex]y =\frac{-3+10}{5}[/tex]
- [tex]y =\frac{7}{5}[/tex]
- [tex]y=1.4[/tex]
- [tex]y =\frac{3}{5}(0) + 2[/tex]
- [tex]y = 2[/tex]
- [tex]y =\frac{3}{5}(1) + 2[/tex]
- [tex]y =\frac{3}{5} + 2[/tex]
- [tex]y =\frac{3+10}{5}[/tex]
- [tex]y =\frac{13}{5}[/tex]
- [tex]y = 2.6[/tex]
- [tex]y =\frac{3}{5}(2) + 2[/tex]
- [tex]y =\frac{6}{5} + 2[/tex]
- [tex]y =\frac{6+10}{5}[/tex]
- [tex]y =\frac{16}{5}[/tex]
- [tex]y=3.2[/tex]
When comparing the results obtained in y, when the data in x are assumed, it can be seen that they correspond to those shown in graph B, which is the same as the second attached graph.
More information about Graphs: https://brainly.com/question/16608196
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