##### Asked by: Rosinda Cruañes

asked in category: General Last Updated: 17th February, 2020# How do you find the zero of a linear function?

**To find the zero of a linear function, simply find the point where the line crosses the x -axis.**

**Zeros**of**linear functions**: The blue line, y=12x+2 y = 1 2 x + 2 , has a**zero**at (−4,0) ; the red line, y=−x+5 y = − x + 5 , has a**zero**at (5,0) .- Slope-intercept graph: Graph of the line y=−32x−2 y = − 3 2 x − 2 .

Keeping this in consideration, how do you find the zeros of a function?

**Finding** the zero of a **function** means to **find** the point (a,0) where the graph of the **function** and the y-intercept intersect. To **find** the value of a from the point (a,0) set the **function** equal to zero and then solve for x. This involves using different techniques depending on the type of **function** that you have.

Likewise, what is the formula for a linear function? The formula **y = mx + b** is said to be a linear function. That means the graph of this function will be a straight line on the (x, y) plane. Since we will be graphing (x, y) points, though, we will do our thinking with the '**y = mx + b**' form for a while.

Subsequently, one may also ask, what is the zero of a linear function?

The **zero of a linear function** in algebra is the value of the independent variable (x) when the value of the dependent variable (y) is **zero**. **Linear functions** that are horizontal do not have a **zero** because they never cross the x-axis. Algebraically, these **functions** have the form y = c, where c is a constant.

What is a zero in algebra?

In mathematics, a **zero** (also sometimes called a root) of a real-, complex-, or generally vector-valued function , is a member of the domain of such that vanishes at ; that is, the function attains the value of 0 at , or equivalently, is the solution to the equation .