The given equation is:

\[
y = 2x^1 + 5
\]

We can simplify the expression since \(x^1 = x\):

\[
y = 2x + 5
\]

This is the equation of a straight line in slope-intercept form \(y = mx + b\), where:
- \(m = 2\) (the slope)
- \(b = 5\) (the y-intercept)

Thus, the equation is already simplified. It represents a linear relationship between \(x\) and \(y\).

If you need to solve for specific values of \(y\), you can plug in values for \(x\), or if you want to solve for \(x\) given \(y\), set \(y = 0\) for example:

\[
0 = 2x + 5 \quad \Rightarrow \quad 2x = -5 \quad \Rightarrow \quad x = -\frac{5}{2}
\]

Do you want to solve for a particular value of \(x\) or \(y\)? 

### Related Questions:
1. What is the slope and y-intercept of this line?
2. How do we graph a linear equation like \(y = 2x + 5\)?
3. What happens when \(x = 0\)? What is \(y\) then?
4. How do we interpret the slope in this equation?
5. How do you solve for \(x\) if \(y = 10\)?

### Tip:
In linear equations, the slope tells you how steep the line is, and the y-intercept tells you where the line crosses the y-axis.

Understand how to solve and interpret the linear equation y = 2x + 5. This problem explains slope and y-intercept concepts using the slope-intercept form y = mx + b, helping students solve for x or y. Suitable for Grades 6-8.

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