Question

Why is it useful to have different forms of linear equations?

Answer 1

It is also useful because we can read the slope and y-intercept from the equation. Often, when we are given equations in other forms, we can rewrite it in slope-intercept form to get the slope and y-intercept.

Answer 2

Linear equation is the equation of a straight line.

Forms of a linear equation

The forms of a linear equation are:

• Slope intercept form - $\mathbf{y = mx + b}$.
• Point slope form - $\mathbf{y - y_1 = m (x - x_1)}$.
• Standard form - $\mathbf{Ax +Bx = C}$.

Slope intercept form

From the slope intercept form, one can easily deduce the slope and the y-intercept of the linear equation

Point slope form

From the point-slope form, one can easily deduce the slope and the points of the graph of the linear equation

Standard form

From the standard form, the values of x and y can be easily calculated.

Hence, the usefulness of having different forms of linear equation is that they all serve different purposes, even through they represent the same graph.

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