# Converting Linear Equations in Standard Form to the Slope Intercept Form

The general equation or standard equation of a straight line is:

In which, and are constants and either or .

Now to convert this linear equation in standard form to the slope intercept form, by definition the slope-intercept is written as .

To convert the standard form to the slope intercept form, take the standard equation and separate the variable on the left hand side as follows:

Compare this equation with the slope intercept form where the slope is and the y-intercept is .

__Example__**: **Convert the equation into the slope intercept form.

The equation of the line in standard form is

Compare this with equation with the slope intercept form . Here the slope is and the y-intercept .