The general equation or standard equation of a straight line is given by

Where and are any constants and also either or .

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

The procedure of converting standard form to slope intercept, take the standard equation and separate the variable on the left hand side as follows

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

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

We have equation of line in standard form is

Compare with equation with slope intercept form . Where slope is and y-intercept .