What is a Linear equation?
A linear equation is an equation that consists of terms that are either constants or products of a variable raised to to the power 1 and a constant.
There is a one-to-one relation between each of the variables in a linear equation. For example, y = 2x + 3 is a linear equation. Each of the variables in the equation is raised to the power one. The graph of this equation is a straight line as for each value of x or y there is only one corresponding value of y or x.
On the other hand in the equation y = 3x^2 is not a linear equation as the variable x is raised to power 2. For each value of y, there are two corresponding values of x; this leads to a graph that is a parabola.
A linear equation is an algebraic equation in which each term is either a constant or the product of a constant and (the first power of) a single variable. Linear equations can have one or more variables.
Basically, It is a equation for making a straight line.
Examples of a linear equation are as follows:-
y = 3x - 6
y - 2 = 3(x+1)
Example: y = 2x+1 is a linear equation:
The graph of y = 2x+1 is a straight line
- When x increases, y increases twice as fast, hence 2x
- When x is 0, y is already 1. Hence +1 is also needed
- So: y = 2x + 1
A linear equation is a significant part of algebra, whereby each term is either a constant or the product of a constant and is the power of a single variable.
It is merely an equation that helps to form a straight line, and includes slope and intercepts.
In order to get a complete detail of how such equations are used to from a line, the link is given below:
A linear equation is a problem that is written in the y= mx + b form.
The m and the b can change but the x stays the same.
5x + 10 is a linear equation.
A linear equation is a function that forms a line. A linear equation also needs to fit the equation y = mx + b
y = the point for y
m = slope
x = the point for x
b = y intercept
In a linear equation, there needs to be a slope that is constant throughout. For example if the slope is two, then it needs to continue to be 2 throughout the graph.
Basically a linear equation is an equation that forms a straight line. It is an equation that can contain as many variables as possible but only on one condition that is exponential power must be 1.
Linear Equation is a mathematical expression that has an equal sign and linear expressions.
Where as, variables are basically are shown by alphabets and whose value is unknown.
8x + 6y = 0
ax + by + c= 0
2x +3y +5z = 0
Characteristics of Linear equations
- It has one or two variables.
- No variable in a linear equation is raised to a power greater than 1 or used as the denominator of a fraction.
- When you find pairs of values that make the linear equation true and plot those pairs on a coordinate grid, all of the points for any one equation lie on the same line. Linear equations graph as straight lines.
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.
when we equate two algebric expressions using the sign of equality it forms an equation.linear equations are first degree equations and may contain one or more variables.
A linear equation is a an equation that is composed by numbers, variables or terms; it does not matter how long this equation is as long as the highest exponential power of the elements is one. The graph of this type of equation is a straight line and it is represented by the equation y=mx+b; wherein m is the slope and b is the y-intercept.
A linear equation is the equation of a straight line. A line can be represented by the equation y = mx + b. M represents the slope while b represents the y-intercept (where the line crosses the y-axis).
An example of a linear equation is y = 3x + 7. 3 would be the slope of the line and positive 7 is where the line crosses the y-axis.