Discover Points on Line y=2x+1: A Journey Through Coordinates

To find which point lies on the graph of the function $y = 2x + 1$, we will substitute the $x$ values from each choice and see if the output $y$ matches the $y$ of that point.

Let's evaluate each point:

• For $(0,0)$: Substitute $x = 0$ into $y = 2x + 1$, we get $y = 2(0) + 1 = 1$. Does not match $y = 0$.
• For $(3,10)$: Substitute $x = 3$ into $y = 2x + 1$, we get $y = 2(3) + 1 = 7$. Does not match $y = 10$.
• For $(5,12)$: Substitute $x = 5$ into $y = 2x + 1$, we get $y = 2(5) + 1 = 11$. Does not match $y = 12$.
• For $(4,9)$: Substitute $x = 4$ into $y = 2x + 1$, we get $y = 2(4) + 1 = 9$. Matches $y = 9$.

Therefore, the point through which the function $y = 2x + 1$ passes is $(4,9)$.