##### Asked by: Jamshed Holzhausser

asked in category: General Last Updated: 3rd June, 2020# Is 2x 3y 7 a linear function?

**- 3y**= 7 is a

**straight**line. (This is why it's called a linear

**equation**.)

Also question is, how do you determine if something is a linear equation?

A **linear** function is in the form y = mx + b or f(x) = mx + b, where m is the slope or rate of change and b is the y-intercept or where the graph of the line crosses the y axis. You will notice that this function is degree 1 meaning that the x variable has an exponent of 1.

Likewise, how do you know if a table is linear or nonlinear? You can **tell if a table is linear** by looking at how X and Y change. **If**, as X increases by 1, Y increases by a constant rate, then a **table is linear**. You can find the constant rate by finding the first difference. This **table is linear**.

Also asked, how do you tell if an equation is linear or nonlinear?

Using an **Equation** Simplify the **equation** as closely as possible to the form of y = mx + b. Check to see **if** your **equation** has exponents. **If** it has exponents, it is **nonlinear**. **If** your **equation** has no exponents, it is **linear**.

How can you tell if a function is linear without graphing?

To **determine if** an equation is a **linear function without graphing**, you will need to check to see **if** your **function** has the characteristics of a **linear function**. **Linear functions** are first-degree polynomials. Check that the y, or independent variable, is by itself on one side of the equation.