# How do you write the equation of a line in slope intercept, point slope and standard form given P: (3, -4) and Q: (2,1)?

##### 1 Answer

Slope intercept form:

Point slope form:

Standard form:

#### Explanation:

First step is to find the slope (gradient),

To write the line in 'point slope' form we can choose either point and substitute it into this form:

We'll choose the first point, P:

Which simplifies to:

To write it in 'slope intercept' or 'standard' form, we need to find the y-intercept.

To do so we use one of the points in the form for slope intercept:

Let's substitute in point Q to keep it interesting:

Rearranging,

We can immediately write the equation of the line in standard form:

Standard form is:

We get to it by moving the

And we're done!