About Linear Equation Formula
We translate the supplied circumstance into mathematical assertions using the linear equation formula, indicating the relationship between the unknowns (variables) based on the information provided. The equation of a straight line, commonly known as the first-order equation, is a linear equation. We solve difficulties using linear equations on a daily basis
.What do you mean by Linear Equation Formula?
The linear equation is an equation with a maximum order of 1 and a straight line equation. The linear equation formula is y = mx + b, where x and y are the variables, m is the line's slope, and b is the y-intercept. A slope determines the line's direction as well as its steepness. Because (0,y) is the point where the line crosses the y-axis, the value of y when x is 0 is termed the y-intercept. As a result, the linear equation formula is:
y = mx + b
Here,variables are x and y, b is y-intercept, m is slope of line Linear Equation Formula Using the linear equation formula (y= mx+b), the equation for a straight line with a y-intercept of (0, 2) and a slope of m= 4 is y = 4x+2. In the (x,y) plane, the linear equation in one variable and in two variables can be expressed in a variety of ways
| Linear Equation Form | Formula | Explanation |
|---|---|---|
| General Form | ax + by = c | where a ≠ 0; a, b, c are real numbers. m = -a/b |
| Slope Intercept Form | y = mx + b |
where y and x are the points in the (x,y) plane, m is the slope of the line (knows as the gradient), b is the intercept (a constant value) |
| Two-Point Form | y−y1=m(x−x1)y−y1=m(x−x1) |
where (x1,y1)(x1,y1) and (x2,y2)(x2,y2) are the two points on the line, m= y2−y1x2−x1y2−y1x2−x1 and x1x1 ≠ x2x2 |
| Intercept Form | x/x0x0 + y/y0y0= 1 | where x0x0 = x-intercept y0y0 = y-intercept |
| Vertical Line | x = p | p is the x-intercept |
| Horizontal Line | y = q | q is the y-intercept |
