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.
1. 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) .
2. 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 .

### Is horizontal line a linear function?

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17th February, 2020

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