# What is the equation of the line passing through #(4,8)# and #(-9,3)#?

##### 1 Answer

point-slope form:

or

slope-intercept form:

standard form:

#### Explanation:

Method 1:

Use point slope form

which is

when given a point

'

In this case, we should first find the slope between the two given points.

This is given by the equation:

when given the points

'

For

By plugging what we know into the slope equation, we can get:

'

from here we can plug in either point and get:

or

Method 2:

Use slope intercept form

which is

when

'

We can find the slope between the two given points using the same steps as above

and get

'

but this time when we plug in, we will still be missing the

to find the y-intercept, we need to temporarily plug in one of the given points in for

'

so

if we plug in

we would get:

'

solving for

'

so your equation would be

another form your equation could be in can be standard form where only the variables are on one side

'

you can get you equation into this form by multiplying both sides of the slope intercept equation by 13

to get

then subtract

'

so your standard form equation would be