# How do you write the equation in point slope form given (2, 5) (3,10)?

##### 2 Answers

#### Explanation:

In general, given two points

the slope can be calculated as

and the equation of the line through these points using the point slope form is

Given

and the slope point form of the equation is

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

The "slope-point form" may also appear in the form:

or

or

All these forms are equivalent.

graph{y=5x-5 [-10, 10, -5, 5]}

#### Explanation:

The point gradient/slope form is

Were

Next, we need the gradient which is

Now with these values, we substitute it into the equation to get an answer in point gradient/slope from.