# How do you write an equation in point slope form given slope 2/3, (5,6)?

##### 1 Answer

The linear equation in point slope form is

#### Explanation:

The general equation for a line in **point slope form** is

To get the **point slope form** for the variables given, plug the known values into the equation.

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Now, if you wish, you can determine the **slope intercept form** for easier graphing, by solving the point slope form for

The general equation for the **slope intercept form** is

Start with the point slope form and solve for

Add

Simplify.

Multiply

Simplify.

Simplify.

The slope intercept form is **y-intercept** is

To find the **x-intercept** , make

The **x-intercept** is

graph{y=2/3x+8/3 [-10, 10, -5, 5]}