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. All other linear functions have one zero.
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The zeros, or roots, of a linear function is the point at which the line touches the x-axis. Since a linear function is a straight line, it has a maximum of one root (zero). The zero of a function can be determined by the highest degree (power) of the function. Since linear functions are only raised to the power of one, one is the total number of times the line can touch the x-axis. If you function is a horizontal line, it has no root, or zero.
A linear equation can have only one zero and that is the value of the variable for which the equation is true.
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. All other linear functions have one zero.For example, if your equation is 3x + 11y = 6, you would substitute zero for y, the term 11y would drop out of the equation and the equation would become 3x = 6x = 2
Linear equations are a tiny subset of functions. Linear equations are simple, continuous functions.
A linear function is of the form y = ax + b