What is a linear equation in math?
An equation that makes a straight line when it is graphed. Often written in the form y = mx+b. Equation of a Straight Line.
What is linear equation definition and example?
The equation for a straight line is the linear equation. Since linear usually stands for anything straight or in a line, thus the equation for lines in the xy plane is said as linear equation. For example, 2x+3y = 5 is a linear equation in two variables.
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.
Why is it called a 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.
How do you find a linear equation?
Key TakeawaysGiven the graph of a line, you can determine the equation in two ways, using slope-intercept form, y=mx+b y = m x + b , or point-slope form, y−y1= m(x−x1) y − y 1 = m ( x − x 1 ) .The slope and one point on the line is all that is needed to write the equation of a line.
What is linear function example?
What is a Linear Function? For example, a common equation, y=mx+b y = m x + b , (namely the slope-intercept form, which we will learn more about later) is a linear function because it meets both criteria with x and y as variables and m and b as constants.
What do you mean by linear?
1 : made up of, relating to, or like a line : straight. 2 : involving a single dimension. linear.
How is a function linear?
Linear functions are those whose graph is a straight line. A linear function has the following form. y = f(x) = a + bx. A linear function has one independent variable and one dependent variable. The independent variable is x and the dependent variable is y.
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 teach linear equations?
There are many ways to teach about linear equations, right. You can (a) use the old t-table approach; (b) you can draw a line and then figure out its slope and y-intercept; or you can (c) first explain the slope-intercept formula and then explain how the equation aligns with the formula.
How are linear equations used in real life?
Linear equations can be a useful tool for comparing rates of pay. For example, if one company offers to pay you $450 per week and the other offers $10 per hour, and both ask you to work 40 hours per week, which company is offering the better rate of pay? A linear equation can help you figure it out!