The correct answer is Option C.
x + 2y = 8
2x + 4y = 12
How to find the equation of a line?
In its simplest format in algebra, the definition of an equation exists as a mathematical statement that indicates that two mathematical expressions exist equal. For instance, 3x + 5 = 14 exists an equation, in which 3x + 5 and 14 exist two expressions separated by an 'equal' sign.
Equation of line in Two point form
When we know any two points on a line lets say [tex](a_1,b_1)[/tex] and [tex](a_2,b_2)[/tex], we can write its equation as:
[tex]y-b_1=m(x-a_1)[/tex]
where
[tex]m=\dfrac{b_2-a_2}{b_1-a_1}[/tex]
Here we have points of red line:( from graph) (0,3) and (6,0)
Equation of line: y-3=m(x-0)
m=0-3/6-0=-1/2
Equation:2y-6=-1(x)
2y+x=6
Now from graph, we can see that the blue line is parallel to red line, therefore their slopes are same
The equation of blue line is as follows
y=mx+c
Point on blue line :(0,4)
4=(-1/2)*(0)+c
c=4
The equation is x+2y=8.
Therefore, it matches with option C.
x + 2y = 8
2x + 4y = 12
To know more about equations refer to:
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