# How do you write the equation in point slope form given (3,5) and (8,15)?

##### 3 Answers

#### Explanation:

First, we have to solve for the slope using this equation:

This formula makes sense because slope is rise over run. Rise being the

Now you choose which point is point 2 (includes

Point 2:

Point 1:

Plug into the formula and solve for the slope:

Now we know that the slope,

Next, we have to use point-slope formula to get the equation:

You can plug in either point for the

Now plug in the slope

Distribute the

Add

Final Answer:

#### Explanation:

If two points on a line are known, we can use the following formula to write the equation :

Hence, equation of the line is

Standard form of Point-Slope equation is

Equation of the line in Slope-Intercept Form:

#### Explanation:

If the slope **Point-Slope Form**:

To find the slope if we are given two end-points of a line, we use the formula:

We are given the points:

Note that

Next, consider the equation of the **point-slope form**.

Consider the point

We also found that

Add

This is the **required equation in the Point-Slope Form**.

We can also graph the line and find the intercepts.

Substitute **x-intercept**.

Add

Divide both sides by

Hence

Substitute **y-intercept**.

Hence **y-intercept**.