Find the Passing Points: y = 6(2x + 4) + x

Question

Through which points does the function below pass?

$y=6(2x+4)+x$

00:00 Find which points are on the line

00:03 Open parentheses properly, multiply by each factor

00:14 This is the line equation

00:17 In each point, the left number represents the X-axis and the right represents Y

00:21 We'll substitute each point in the line equation and see if it's possible

00:28 Not possible, therefore the point is not on the line

00:31 We'll use the same method for all points and find which ones are on the line

00:34 Let's move to this point

00:43 Not possible, therefore the point is not on the line

00:50 Let's move to this point

01:01 Not possible, therefore the point is not on the line

01:05 Let's move to this point

01:15 Possible, therefore the point is on the line

01:18 And this is the solution to the question

To solve this problem, we'll follow these steps:

First, let's simplify the expression for $y$ :

$y = 6(2x + 4) + x$
$= 6 \times 2x + 6 \times 4 + x$
$= 12x + 24 + x$
$= 13x + 24$

Now, let's evaluate $y$ when $x = 0$ :

$y = 13(0) + 24$
$= 0 + 24$
$= 24$

This means the function passes through the point $(0, 24)$ . Therefore, the solution to the problem is $(0, 24)$ .

$(0,24)$