Verify the Point: Is (4, 19) on y = 2(x+6) - 1?

The point $(4,19)$ is located in the graph

$y=2(x+6)-1$

To solve this problem, we'll verify whether the point $(4, 19)$ lies on the graph of the function $y = 2(x + 6) - 1$.

• Substitute $x = 4$ into the function.
• Calculate the resulting y-value.
• Compare this y-value to 19 to determine if $(4, 19)$ is on the graph.

Let's perform these steps:

Step 1: Substitute $x = 4$ into the function:

$y = 2(4 + 6) - 1$

Step 2: Simplify the expression:

$y = 2 \times 10 - 1 = 20 - 1 = 19$

The calculated y-value is 19.

Step 3: Compare the calculated y-value with the y-coordinate of the point:

Since the calculated y-value (19) matches the y-coordinate of the point (19), the point $(4, 19)$ does indeed lie on the graph.

Thus, the answer is: Yes (the point lies on the graph).