Answer:
The equation of the line in standard form is 
Step-by-step explanation:
we know that
The equation of the line in standard form is

where
A is a positive integer
B and C are integers
step 1
Find the slope of the line
The formula to calculate the slope between two points is equal to

we have the points
(0,6) and (4.0)
substitute the values



step 2
Find the equation of the line in slope intercept form

where
m is the slope
b is the y-coordinate of the y-intercept
we have

Remember that the y-intercept is the value of y when the value of x is equal to zero
In this problem the y-intercept is given
The y-intercept is the point (0,6)
so

substitute

step 3
Convert to standard form
Multiply by 2 both sides to remove the fraction

Adds 3x both sides
