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.