Different Forms of the Equation of Line – Explanation and Solved Example

# Different Forms of the Equation of Line – Explanation and Solved Example

## An Introduction to Equation of a Line in Different Forms

There are three forms of the equation of a line: slope-intercept form, standard form, and point-slope form.

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The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. The standard form is Ax + By = C, where A and B are not both zero. The point-slope form is y – y1 = m(x – x1), where (x1, y1) is a point on the line and m is the slope.

## Forms of the Equation of the Line

The equation of a line is a mathematical statement that describes the linear relationship between two variables. There are several different forms of the equation of a line, each of which is suited to a particular situation.

The most basic form of the equation of a line is y = mx + b, where m is the slope of the line and b is the y-intercept. This form can be used to determine the equation of a line given two points on the line.

Another common form of the equation of a line is ax + by + c = 0, where a, b, and c are constants. This form can be used to find the equation of a line given its slope and y-intercept.

Finally, the equation of a line can be expressed in terms of its coefficients of x and y, as well as its point of intersection. This form is xy = k, where k is a constant.

## Different Forms of the Equation of a Straight Line

There are three forms of the equation of a straight line:

y = mx + b

y = a + bx

y = ax + b

The first form is the most common, and it is used to find the equation of a line when you are given two points on the line. The second form is used to find the equation of a line when you are given the slope and the y-intercept. The third form is used to find the equation of a line when you are given the slope and the x-intercept.

## Slope-intercepts Form of a Line:

The slope-intercepts form of a line is the equation of a line in slope-intercept form, which is written as y = mx + b, where m is the slope of the line and b is the y-intercept.

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