Question

How do you find the general form of an equation?

Answer 1

Formation of the general equation:

The general form of any equation contains the degree of variables in decreasing order.

The general form of a linear equation is $ax+b=0.$

The general form of a linear equation in two variables is $ax+by+c=0.$

The Slope-intercept form :

The Slope-intercept form of the equation of a straight line:

$y=mx+b$

where, $m$is the slope and $b$is $y-$the intercept.

The point-slope form :

The point-slope form of the equation of a straight line:

$y-y_1=m(x-x_1)$

We know that the general form of the equation of lines can be found using the slope and $y-$intercept.

Similarly, the general form of a quadratic equation is $a{x}^2+bx+c=0.$

Here, $a,b,c$are real numbers and $a\ne 0.$

The roots of a quadratic equation are enough to write the equation in its general form.

Hence, in this way, we can find the general form of an equation.