<transcript><audio_18>and if I choose X equal to two our formula tells us that Y is equal to six and so we know the point two six is on the graph now while we know these three points are on the graph we don't know if there are</transcript><transcript><audio_19>any others on the graph then we could find more by choosing different values of X and if I were endlessly patient I could fill in the space between these points with many many many more points</transcript><transcript><audio_20>but for reasons that won't be clear until you take calculus we can connect the dots to form a continuous graph mathematicians say that the equation y equals 3x corresponds to the curve shown</transcript><transcript><audio_21>and it's important to recognize two things first mathematicians are not very good at coming up with new and exciting names for things this is a curve and there's no real need to call it anything else and when a mathematician talks</transcript><transcript><audio_22>about curves they include things like this straight line so for example let's draw the curve corresponding to the equation y equals 5 so again the equation describes a relationship</transcript><caption><image_23>The image is a screenshot of a question from a math worksheet. The question is titled "The equation describes a relationship between the x and y values on the curve. As before, we can pick a value for a and find the value of y." 

The question is written in black text on a white background. The text is in a simple, sans-serif font and is centered on the page. Below the question, there is a green button that says "Example".</caption><transcript><audio_24>between the x and y values on the curve as before we can pick a value for X and find the value for y so we'll pick x equals 3 because I like the number 3 that our formula tells us that y equals</transcript> and if I choose X equal to two our formula tells us that Y is equal to six and so we know the point two six is on the graph now while we know these three points are on the graph we don't know if there are any others on the graph then we could find more by choosing different values of X and if I were endlessly patient I could fill in the space between these points with many many many more points but for reasons that won't be clear until you take calculus we can connect the dots to form a continuous graph mathematicians say that the equation y equals 3x corresponds to the curve shown and it's important to recognize two things first mathematicians are not very good at coming up with new and exciting names for things this is a curve and there's no real need to call it anything else and when a mathematician talks about curves they include things like this straight line so for example let's draw the curve corresponding to the equation y equals 5 so again 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 for y so we'll pick x equals 3 because I like the number 3 that our formula tells us that y equals
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