https://padlet.com/evansdl/s3wi28tq4ij83tuz Let's learn to speak the "linear language" en-us 2022-04-12 14:49:57 UTC 2022-04-25 15:41:19 UTC hello@padlet.com evansdl https://padlet.com/evansdl/s3wi28tq4ij83tuz/wish/2147056918 A 2 dimensional tool that is organized with an x and y axis. We use this plane to plot points (x,y); graph functions, and visually represent mathematical patterns between two variables.]]> 2022-04-18 14:33:28 UTC https://padlet.com/evansdl/s3wi28tq4ij83tuz/wish/2147056918 evansdl https://padlet.com/evansdl/s3wi28tq4ij83tuz/wish/2147058613  A mathematical relationships where for every independent variable (input) ((x)) there exists a unique dependent variable (output) ((y)). We sometimes describe this as a one to one variable relations.]]> 2022-04-18 14:34:48 UTC https://padlet.com/evansdl/s3wi28tq4ij83tuz/wish/2147058613 evansdl https://padlet.com/evansdl/s3wi28tq4ij83tuz/wish/2147061415 Sometimes referred to as an ordered pair. The coordinate has a form (x,y) where the first term (called the abscissa) represents the position of the coordinate with respect to the horizonal x axis and the second term (called the ordinate) represents the position of the coordinate with respect to the vertical y axis. These are graphed as a point on the Cartesian Coordinate Plane. ]]> 2022-04-18 14:37:03 UTC https://padlet.com/evansdl/s3wi28tq4ij83tuz/wish/2147061415 evansdl https://padlet.com/evansdl/s3wi28tq4ij83tuz/wish/2147064153 (x , y) 
Move x number of positions from the origin 
Move y number of positions from the origin

+ x = Move east or positive direction from the origin (towards + ∞)
- x = Move west or in a negative direction from the origin (towards - ∞)]]> 2022-04-18 14:39:19 UTC https://padlet.com/evansdl/s3wi28tq4ij83tuz/wish/2147064153 evansdl https://padlet.com/evansdl/s3wi28tq4ij83tuz/wish/2147067670 First create a table of values that are organized by (x , y) where you have a pair of variables for each value of x and its related y. 
Then plot each pair of points on a graph as a coordinate
Finally sketch or connect a traced line that passes through all points. 
IF the set of ordered pairs are a true linear function; then there exists a unique single line that will pass through all the points. 

Remember: Your scale of your coordinate must be uniform for the point position to not be skewed. ]]> 2022-04-18 14:42:01 UTC https://padlet.com/evansdl/s3wi28tq4ij83tuz/wish/2147067670 evansdl https://padlet.com/evansdl/s3wi28tq4ij83tuz/wish/2147168215 This is a mathematical value that tells us the rate of change that occurs between two given points on the line that passes between them. 

m is the common variable used to express slope. 

m = (distance between the y coordinates of the points) / (distance between the x coordinates of the points) 

We express this as "Change in y / Change in x" rather than distance because we do not use the absolute value. We want to use the sign of the difference because it tells us if the line is increase (+) or decreasing (-) depending on the sign of the slope. ]]> 2022-04-18 16:00:34 UTC https://padlet.com/evansdl/s3wi28tq4ij83tuz/wish/2147168215 evansdl https://padlet.com/evansdl/s3wi28tq4ij83tuz/wish/2152336990 y = mx + b is the form
m represents the slope of the line
b represents the y coordinate associated with the y intercept of the line, (0, b)

Rule: Remember this format requires the leading coefficient of y to by +1 


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