It is a common task to convert equation of line from point slope form to standard form.

**Video** Tutorial on Point Slope to Standard Form

**Example** of Converting from Point Slope to Standard Form

Distribute $$\red m$$, which represents the slope to $$ \blue{x-x1}$$.

Move y_{1} to the other side by adding its opposite to both sides of the equation and simplify.

"Move" the x term to the other side by adding its opposite to both sides.

### Use our Calculator

You can use the calculator below to find the equation of a line from any two points. Just type numbers into the boxes below and the calculator (which has its own page here) will automatically calculate the equation of line in point slope and standard forms.

Answer:

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**Practice** Converting Equations

##### Practice 1

Distribute $$\red m$$, which represents the slope to $$ \blue{x-x1}$$.

Move y_{1} to the other side by adding its opposite to both sides of the equation and simplify.

"Move" the x term to the other side by adding its opposite to both sides.

##### Practice 2

Distribute $$\red m$$, which represents the slope to $$ \blue{x-x1}$$.

Move y_{1} to the other side by adding its opposite to both sides of the equation and simplify.

"Move" the x term to the other side by adding its opposite to both sides.

##### Practice 3

Distribute $$\red m$$, which represents the slope to $$ \blue{x-x1}$$.

Move y_{1} to the other side by adding its opposite to both sides of the equation and simplify.

"Move" the x term to the other side by adding its opposite to both sides.

An optional step, but if you want integer coefficients, then multiply by the least common multipleof the fractions in the equation.

##### Practice 4

Distribute $$\red m$$, which represents the slope to $$ \blue{x-x1}$$.

Move y_{1} to the other side by adding its opposite to both sides of the equation and simplify.

"Move" the x term to the other side by adding its opposite to both sides.

An optional step, but if you want integer coefficients, then multiply by the least common multipleof the fractions in the equation.

- Equation of Line Formula
- Point Slope Form of a Line
- Standard Form of Line
- Standard to Point Slope Form
- Linear Equations Worksheets (standard form, slope intercept form and more)