Quick Answer: What Is Linear Equation Explain With Example?

What is a linear equation definition?

A linear equation is an equation for a straight line..

What do you mean by linear?

1 : made up of, relating to, or like a line : straight. 2 : involving a single dimension. linear.

What is the root word of linear?

linear (adj.) “resembling a line, of or pertaining to lines,” 1640s, from French linéaire, from Latin linearis “belonging to a line,” from linea “string, line” (see line (n.

What is the difference between linear and nonlinear English?

The key difference between linear and nonlinear text is their reading path. In a linear text, a reader can make sense of the text by reading sequentially, from beginning to the end. However, in a nonlinear text, the reading path is nonlinear and non-sequential; thus, the reader can choose his own reading path.

How is a function linear?

Linear functions are those whose graph is a straight line. A linear function has one independent variable and one dependent variable. The independent variable is x and the dependent variable is y. a is the constant term or the y intercept.

How do you plot a linear equation?

To graph a linear equation, we can use the slope and y-intercept.Locate the y-intercept on the graph and plot the point.From this point, use the slope to find a second point and plot it.Draw the line that connects the two points.

What is the difference between linear and nonlinear equations?

While a linear equation has one basic form, nonlinear equations can take many different forms. … Literally, it’s not linear. If the equation doesn’t meet the criteria above for a linear equation, it’s nonlinear.

How do you explain a linear equation?

A linear equation in two variables describes a relationship in which the value of one of the variables depends on the value of the other variable. In a linear equation in x and y, x is called x is the independent variable and y depends on it. We call y the dependent variable.

What is linear equation Give 5 example?

Solve (i) 3x − 1=5 (ii) 4x +2=9 (iii) 6 − 2x = 1 (iv) 5x +1= −9 (v) 3x +1= x − 5 (vi) 6x − 1=3 − 2x (vii) 2 − 3(x − 2) = x + 4 (viii) 5(x − 1) + 1 = 2(x − 2). In general, a linear equation in one variable has just one solution, i.e., a unique solution.

How do you explain linear equations to kids?

A linear equation is an equation that describes a straight line on a graph. You can remember this by the “line” part of the name linear equation. Where A, B, and C are coefficients (numbers) while x and y are variables.

What’s another word for linear?

In this page you can discover 45 synonyms, antonyms, idiomatic expressions, and related words for linear, like: rectilinear, in the direction of a line, nonlinear, lineal, threadlike, extended, direct, lineiform, analogue, planar and cubic.

Why is it called linear equation?

The left-hand side is an expression; we call it a linear expression, because if you used it in an equation with two variables, y = 2x+4, its graph would be a straight line. … So the linear equation can be thought of very much in terms of a line.

What are the types of linear equations?

There are three major forms of linear equations: point-slope form, standard form, and slope-intercept form.