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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: