Cartesian Plane and Slope

​- Name the points in the cartesian plane

​- Identify the quadrant of the coordinates

- Identifying slope (direction)

- Finding slope of a line (steepness)

- Slope from a Table

- Slope from an Equation- Identifying slope (direction)

​ The coordinate plane is a two-dimension plane that is formed when the x-axis (running horizontally - left/right) intersects with the y-axis (running vertically - up/down).

​The x-axis and y-axis intersect at a point called the ORIGIN.

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Each point on the coordinate plane can be represented by an ordered pair (x,y) which state the coordinate location of each point.

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The origin is located at (0,0).

This intersection also creates four quadrants where points can be plotted.

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To name quadrants, begin at the top right where all the positive values of both x and y are located.

This is Quadrant I.

To name the others, move in a counterclockwise rotation.

Although there are two coordinates given for an ordered pair, it is a series of these two movements that result in one plotted point.

First follow the x to move left/right,

then follow the y to move up/down.

​Plot and label the coordinates on a cartesian plane

A ( 5, 4 ) ,

B ( -3, 0 ) ,

C ( -1, -2 )

• ​the slope or gradient of a line is a number that describes both the direction and the steepness of the line.

Slope can tell us how steep a line is!

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Each line can be assigned a value that tells us how steep the line is.

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Slope is written as a ratio (rise/run)

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Always make sure to simplify your answer!

• Slope = change in y/change in x

• Use the table to find the value the y is changing by. That is the numerator!

• Use the table to find the value the x is changing by. That is the denominator!

• ANOTHER OPTION: Graph the points and count rise/run