# Converting Linear Equations in Standard Form to Slope Point Form

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

Where $a$ and $b$ are any constants and also either $a \ne 0$ or $b \ne 0$.
Convert the standard equation of line $ax + by + c = 0$ into the slope point form

If the standard form of line is passes through the point $\left( {{x_1},{y_1}} \right)$, then this point must satisfy the standard equation i.e.

Comparing the equation with slope intercept form, the slope is $m = - \frac{a}{b}$. The slope point form of line is $y - {y_1} = m\left( {x - {x_1}} \right)$. Now putting the values of $m$ and ${y_1}$ in the slope point form $y - {y_1} = m\left( {x - {x_1}} \right)$.

Which is the equation of line in point-slope form transferred from its general form.