linear equations in two variables formulas send me ??
Answers
Answer:
Linear equations are equations of the first order. These equations are defined for lines in the coordinate system. An equation for a straight line is called a linear equation. The general representation of the straight-line equation is y=mx+b, where m is the slope of the line and b is the y-intercept.
Linear equations are those equations that are of the first order. These equations are defined for lines in the coordinate system.
Linear equations are also first-degree equations as it has the highest exponent of variables as 1.
Examples:
2x – 3 = 0,
2y = 8
m + 1 = 0,
x/2 = 3
x + y = 2
3x – y + z = 3
When the equation has a homogeneous variable (i.e. only one variable), then this type of equation is known as a Linear equation in one variable. In different words, a line equation is achieved by relating zero to a linear polynomial over any field, from which the coefficients are obtained.
The solutions of linear equations will generate values, which when substituted for the unknown values, make the equation true. In the case of one variable, there is only one solution, such as x+2=0. But in case of the two-variable linear equation, the solutions are calculated as the Cartesian coordinates of a point of the Euclidean plane.
There are different forms to write linear equations. Some of them are:
Linear Equation General Form Example
Slope intercept form y = mx + c y + 2x = 3
Point–slope form y – y1 = m(x – x1 ) y – 3 = 6(x – 2)
General Form Ax + By + C = 0 2x + 3y – 6 = 0
Intercept form x/x0 + y/y0 = 1 x/2 + y/3 = 1
As a Function f(x) instead of y
f(x) = x + C
f(x) = x + 3
The Identity Function f(x) = x f(x) = 3x
Constant Functions f(x) = C f(x) = 6
Answer:
linear equations in two variables,
ax+by=c
OR
ax+by-c=0