# How do you write an equation of the line that passes through (-3,4) and (1,0)?

##### 2 Answers

#### Explanation:

The line equation is of the form

As the line passes through this two points

they both obey the equation

Therefore:

So, the equation of the line that passes through those points is

We will write the equation in slope-intercept form,

The equation of the line can be written:

(we don't write the number '1' in front of the

#### Explanation:

First step: find the slope (gradient) of the line:

It doesn't matter which of the two given points we decided is 'Point 1'

Similarly for the other point,

So

Now that we know the slope, we can use it and the value of one of the points we were given to find the y-intercept of the line. This is the point where the line crosses the y-axis. The y-axis is the line

Rearranging,