Answer:
No, it will not pass through origin.
Step-by-step explanation:
Given:
The equation of the line is:
[tex]y=5683x+976[/tex]
The coordinates of the origin are [tex]x=0,y=0[/tex]. So, if the line passes through the origin, then the 'y' value at [tex]x=0[/tex] must be 0.
Let us check the 'y' value at [tex]x=0[/tex].
Plug in [tex]x=0[/tex] in the above equation. This gives,
[tex]y=5683\times 0 + 976[/tex]
[tex]y=0+976[/tex]
[tex]y=976[/tex]
So, at [tex]x=0[/tex], the value of 'y' is 976 which is not equal to 0.
Hence, it will not pass through the origin as for [tex]x=0[/tex], the value of 'y' is not 0.
