Answer:
The equation of the line in
form where
are integers with no factor common to all three, and greater than or equal 0 is:

Step-by-step explanation:
Given:
x-intercept = 12
y-intercept = 4
To find the equation of line in the form
where
are integers with no factor common to all three, and greater than or equal 0.
Solution:
The x-intercept is the point at which the line cuts the x-axis. The point of x-intercept is given as 
Thus, on point of the line is (12,0)
The y-intercept is the point at which the line cuts the y-axis. The point of y-intercept is given as
.
Thus, on point of the line is (0,4)
Using the two points we can find the slope of the line using the slope formula.

So, slope of the line can b given as:



The slope intercept form of the equation of he line is given as:

where
represents slope of the line and
represents the y-intercept.
So, the equation of the line can be given as:

Multiplying each term by 3 to remove fraction.


Adding
both sides.


Thus, the equation of the line in
form where
are integers with no factor common to all three, and greater than or equal 0 is:
