1. The problem is to identify which points lie on the graph of the function $y=4x$. 2. The function $y=4x$ means for any $x$ value, $y$ should be $4$ times $x$. 3. We check each point $(x,y)$ to see if $y=4x$ holds: - For $(-4,-5)$: $4 \times (-4) = -16 \neq -5$, so no. - For $(-5,4)$: $4 \times (-5) = -20 \neq 4$, so no. - For $(-1,0)$: $4 \times (-1) = -4 \neq 0$, so no. - For $(1,4)$: $4 \times 1 = 4 = 4$, so yes. - For $(3,4)$: $4 \times 3 = 12 \neq 4$, so no. - For $(5,2)$: $4 \times 5 = 20 \neq 2$, so no. 4. Only the point $(1,4)$ lies on the graph of $y=4x$. Final answer: The dot at $(1,4)$ is on the graph of $y=4x$.