<transcript><audio_25>5 so 3 5 is a point on the graph I'll pick another value for x if x equals 10 five so ten five is a point on the graph</transcript><video><caption><image_26>The image is a graph of a curve with a blue dot on the x-axis and a green line on the y-axis. The graph is plotted on a white background. On the right side of the image, there is a text that reads "The equation describes a relationship between the x and y values on the curve. As before, we can pick a value for x and find the value of y. (3.5) is a point on the graph. Y = x = x, y = 3. There is also a note below the graph that explains how to draw the curve corresponding to the equation y = 5.</caption><caption><image_27>The image is a screenshot of a math worksheet with a graph on the left side. The graph is a line graph with a point at the x-axis and a line at the y-axis. On the right side of the image, there is a text box with the title "Example: Draw the curve corresponding to the equation y = 1.3". Below the text box, there are two options - "The equation describes a relationship between the y and y values on the curve" and "As before, we can pick a value for x and find the value of y = y". 

There is also a blue dot on the graph, which is likely a point on the y axis. The text box is labeled "y = -3" and has a red button that says "PAUSE and SOLVE".</caption></video><transcript><audio_28>and if y equals well why not let's use this horrible mess then our formula five and so I have a point on the graph after plotting these points I can</transcript><caption><image_29>The image is a screenshot of a math worksheet with a graph on the left side. The graph is a line graph with three points plotted on it. The x-axis of the graph is labeled as "3.5" and the y-axis is labeled "y-5". 

On the right side of the image, there is a question that asks the student to draw the curve corresponding to the equation y =. The equation describes a relationship between the x and y values on the curve. Below the question, there are two options - "As before, we can pick a value for x and find the value of y".

There are also two blue dots on the graph, one representing the equation and the other representing the value. The first option is "1.5", which is a point on the slope of the curve, and the second option is a slope of y = 5.

The image also has a logo for "Pause and Solve" on the bottom right corner.</caption><caption><image_30>The image is a graph of a line graph with a point on the x-axis and a line on the y-axis. The graph is plotted on a white background and there is a text box on the top right corner that reads "The equation describes a relationship between the y and y values on the curve. As before, we can pick a value for x and find the value of y". 

On the left side of the graph, there are two lines, one labeled "3.5" and the other labeled "2.5". The x and y axes are plotted on the graph. The y axis is labeled "y = 5" and there are three points labeled "1.5", "2,5", and "3,5". On the right side, there is another line labeled "5,5" with a value of 5.

At the bottom of the image, there has a text field where the user can enter the equation and find a value. The equation is written in black text and the text field is labeled with the corresponding values.</caption><transcript><audio_31>connect the dots and carefully label what I've done which gives me the graph of the equation y equals five now let's pause a moment and think about this process if we had y equals any other number</transcript><transcript><audio_32>we still have the same value of y regardless of the ax value and so we'd still get a graph that looks very much like this and this leads to the following theorem the graph of y equals</transcript><transcript><audio_33>C where C is any constant is a let's try another one how about let's try and graph x equals 3 so as before we'll try and find pairs of x and y</transcript><transcript><audio_34>values so if x equals 2 then our formula says x equals 3 but that's impossible because if x equals 2 X can't be 3 and what this says is we can't pick values</transcript> 5 so 3 5 is a point on the graph I'll pick another value for x if x equals 10 five so ten five is a point on the graph and if y equals well why not let's use this horrible mess then our formula five and so I have a point on the graph after plotting these points I can connect the dots and carefully label what I've done which gives me the graph of the equation y equals five now let's pause a moment and think about this process if we had y equals any other number we still have the same value of y regardless of the ax value and so we'd still get a graph that looks very much like this and this leads to the following theorem the graph of y equals C where C is any constant is a let's try another one how about let's try and graph x equals 3 so as before we'll try and find pairs of x and y values so if x equals 2 then our formula says x equals 3 but that's impossible because if x equals 2 X can't be 3 and what this says is we can't pick values
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