For this case we have that by definition, the standard way to write the equation of a line, is given by:
[tex]ax + by = c[/tex]
Where a, b and c are integers.
Given [tex]y =-\frac{1}{2}x+ 4[/tex]
We can write it in the standard way:
[tex]\frac{1}{2}x+ y = 4[/tex]
[tex]a=\frac{1}{2}[/tex] and by the previous definition, the numbers a, b and c must be integers.
Thus, we multiply the equation by 2, on both sides so as not to alter the equality.
[tex]2*\frac{1}{2}x+ 2 * y= 2 * 4[/tex]
[tex]x + 2y = 8[/tex]
Thus, the equation of [tex]y =-\frac{1}{2}x+ 4[/tex] , in its standard form is given by:
[tex]x + 2y = 8[/tex]
Answer:
Option B
