<video><caption><image_23>The image shows a person's hand holding a blue pen and writing on a whiteboard. The whiteboard is placed on a desk with a colorful floral wallpaper in the background. On the right side of the image, there is a calculator and a notebook. The person is using the pen to write on the whiteboard, which appears to be a mathematical equation. The equation is written in black marker and is written on a piece of paper.</caption><caption><image_24>The image shows a whiteboard with a handwritten note on it. The note is written in black marker and appears to be explaining an absolute value equation. The equation is written on a piece of paper with a blue line graph on the right side. On the left side of the whiteboard, there is a calculator and a pen. The background of the image is a colorful wall with a floral pattern. The person's hand is visible in the bottom right corner, holding the calculator.</caption></video><transcript><audio_25>and then i'm going to pick two points to the left of zero so think of a number line right here zero pick two values to the left and then two values to the right so to the left of zero would be negative one and negative two</transcript><transcript><audio_26>and to the right of zero would be positive one and positive two and so then when i put in negative 2 the absolute value of negative 2 is positive 2 times 5 is going to give me a positive 10.</transcript><transcript><audio_27>when i plug in negative 1 absolute value of negative one is positive one but times five will give me five when i plug in zero the absolute value of zero is zero times five is zero and for one</transcript><transcript><audio_28>absolute value of one is is one times five is five and the absolute value of two is two but times five is ten so i'm doing this for each one i'm just not writing it down because it's pretty straightforward so i'm</transcript><transcript><audio_29>saying y equals five times let's say negative two and then i'm taking the absolute value of negative two which is positive two and then i'm multiplying that and that's how i got ten and i'm doing that for every single one of these x values</transcript><transcript><audio_30>plugging them in simplifying the absolute value first and then multiplying the result times five to get that final answer so i i talked it out but in case you're visual i went ahead and wrote down at least one of them so you can see what i was saying</transcript><caption><image_31>The image shows a person's hand holding a red pen and writing on a whiteboard. The whiteboard is placed on a desk with a calculator and other office supplies scattered around it. On the whiteboard, there is a graph and some text written in black marker. The text appears to be related to graphing an absolute value equation. The graph is a line graph with two points on the x-axis and a point on the y-axis, and the text is written in red marker. There is also a note on the right side of the image that reads "To find the center of the graph, see the value of the equation."</caption> and then i'm going to pick two points to the left of zero so think of a number line right here zero pick two values to the left and then two values to the right so to the left of zero would be negative one and negative two and to the right of zero would be positive one and positive two and so then when i put in negative 2 the absolute value of negative 2 is positive 2 times 5 is going to give me a positive 10. when i plug in negative 1 absolute value of negative one is positive one but times five will give me five when i plug in zero the absolute value of zero is zero times five is zero and for one absolute value of one is is one times five is five and the absolute value of two is two but times five is ten so i'm doing this for each one i'm just not writing it down because it's pretty straightforward so i'm saying y equals five times let's say negative two and then i'm taking the absolute value of negative two which is positive two and then i'm multiplying that and that's how i got ten and i'm doing that for every single one of these x values plugging them in simplifying the absolute value first and then multiplying the result times five to get that final answer so i i talked it out but in case you're visual i went ahead and wrote down at least one of them so you can see what i was saying
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