Question

Identify the plants that will never reach the same heights on the same day and the statement that explains why.

Answer 1

Let's graph every equation on the same coordinate plane:

Cucumber and pepper will never reach the same heights on the same day, let's express the equations in the slope-intercept form:

`\begin{gathered} _{\text{ }}Cucumber\colon y=2x-4 \\ _{\text{ }}Pepper\colon y=2x-5 \end{gathered}`

They have the same slope but they have different y-intercepts, therefore the lines are parallel. If two lines are parallel they never cross each other. The same happens for corn, which equation is:

`_{\text{ }}Corn\colon2x+3`

Answer:

`_{\text{ }}Corn\\e Cucumber,Pepper_{}`

The same combination of variables have different solutions.