4.1 – Plot Points in a Coordinate Plane Grade Distribution 2/27/2019 6:29 PM 4.1 – Plot Points in a Coordinate Plane

Plot Points in a Coordinate Plane Section 4.1 2/27/2019 6:29 PM 4.1 – Plot Points in a Coordinate Plane

4.1 – Plot Points in a Coordinate Plane Definitions X–coordinate is a point that lies left and right Y–coordinate is a point that lies up and down X–axis is horizontal axis Y–axis is vertical axis Independent Variable is on the x–axis Dependent Variable is on the y–axis Ordered pair is a pair with an x–coordinate and a y–coordinate (x, y) Coordinate plane is a grid system to graph ordered pairs Origin is where all the points start off at. (0, 0) Scatterplots are horizontal and vertical axes to plot data points 2/27/2019 6:29 PM 4.1 – Plot Points in a Coordinate Plane

4.1 – Plot Points in a Coordinate Plane What’s the point? Determine the x and y–coordinate of this point (2, 4) X–coordinate Y–coordinate 2/27/2019 6:29 PM 4.1 – Plot Points in a Coordinate Plane

4.1 – Plot Points in a Coordinate Plane The plane truth Y–axis X–axis 2/27/2019 6:29 PM 4.1 – Plot Points in a Coordinate Plane

4.1 – Plot Points in a Coordinate Plane Example 1 Plot (2, 4) into the coordinate plane Point: (2, 4) Start here (0,0) origin 2/27/2019 6:29 PM 4.1 – Plot Points in a Coordinate Plane

4.1 – Plot Points in a Coordinate Plane Your Turn Identify the points of letters A, B, and plot (4, 7/4) (1, 6) A (2, 3.5) B 2/27/2019 6:29 PM 4.1 – Plot Points in a Coordinate Plane

4.1 – Plot Points in a Coordinate Plane Consist of 4 different quadrants Quadrant I: (+,+) Quadrant II: (–,+) Quadrant III: (–,–) Quadrant IV: (+,–) Graph goes counter clockwise 2/27/2019 6:29 PM 4.1 – Plot Points in a Coordinate Plane

4.1 – Plot Points in a Coordinate Plane 2/27/2019 6:29 PM 4.1 – Plot Points in a Coordinate Plane

4.1 – Plot Points in a Coordinate Plane Example 2 Plot point (4, –2) and identify what quadrant it is located at. 2/27/2019 6:29 PM 4.1 – Plot Points in a Coordinate Plane

4.1 – Plot Points in a Coordinate Plane Example 3 Plot point (0, –2) and identify what quadrant it is located at. 2/27/2019 6:29 PM 4.1 – Plot Points in a Coordinate Plane

4.1 – Plot Points in a Coordinate Plane Your Turn Plot point (–2, 0) and identify what quadrant it is located at. 2/27/2019 6:29 PM 4.1 – Plot Points in a Coordinate Plane

Steps in Graphing a Function Make a table by substituting the domain into the function List the ordered pairs with parenthesis Identify the range 2/27/2019 6:29 PM 4.1 – Plot Points in a Coordinate Plane

4.1 – Plot Points in a Coordinate Plane Example 4 Graph the function y = 2x – 1 with the domain –2, –1, 0, 1, and 2 and identify the range of the function x Process y –2 y = 2(–2) – 1 –5 –1 y = 2(–1) – 1 –3 y = 2(0) – 1 1 y = 2(1) – 1 2 y = 2(2) – 1 3 x Process y –2 y = 2(–2) – 1 –1 y = 2(–1) – 1 y = 2(0) – 1 1 y = 2(1) – 1 2 y = 2(2) – 1 x Process y –2 –1 1 2 2/27/2019 6:29 PM 4.1 – Plot Points in a Coordinate Plane

4.1 – Plot Points in a Coordinate Plane Example 5 Graph the function y = –1/3x + 2 with the domain –6, –3, 0, 3, and 6 and identify the range of the function x Process y –6 –3 1 2 3 6 4 2/27/2019 6:29 PM 4.1 – Plot Points in a Coordinate Plane

4.1 – Plot Points in a Coordinate Plane Your Turn Graph the function y = –1/2x + 1 with the domain –4, –2, 0, 2, and 4 and identify the range of the function x Process y –4 3 –2 2 1 4 –1 2/27/2019 6:29 PM 4.1 – Plot Points in a Coordinate Plane