It looks like you have an exercise about identifying linear and exponential equations. Let's take a look at each equation:

Equations and Their Identification:

a) $y = 2x$
This is a linear equation. The independent variable $x$ is not an exponent.

b) $y = 3^x$
This is an exponential equation. The variable $x$ is an exponent.

c) $y = -2^{x}$
This is also an exponential equation because the variable $x$ is in the exponent.

d) $y = \frac{1}{2}(5)^x$
This is an exponential equation because the variable $x$ is in the exponent.

e) $y = -100(0.25)^x$
This is another exponential equation. The independent variable $x$ is the exponent.

f) $y = 7x + 2$
This is a linear equation. The independent variable $x$ is not in the exponent.

Summary:

• a) Linear
• b) Exponential
• c) Exponential
• d) Exponential
• e) Exponential
• f) Linear

Would you like further explanations on these types of equations?

Here are 5 related questions:

1. What makes an equation linear versus exponential?
2. Can you give an example of a linear equation with a fraction?
3. How do you graph exponential functions?
4. What is the general form of an exponential equation?
5. What happens if the base in an exponential equation is negative?

Tip: When trying to identify if an equation is linear or exponential, always check if the variable $x$ is in the exponent. If it is, it's exponential!