section 2.1 graphs
DESCRIPTION
Section 2.1 Graphs. Points & Ordered Pairs ( x,y ) Quadrants I II III IV Solutions to Equations x-intercepts Nonlinear Equations. Points and Ordered Pairs. Plotting Points aka Graphing Points. ( , ) x-value, y-value. + – . – +. - PowerPoint PPT PresentationTRANSCRIPT
2.1 1
Section 2.1Graphs Points & Ordered Pairs (x,y) Quadrants I II III IV Solutions to Equations x-intercepts Nonlinear Equations
2.1 2
Points and Ordered Pairs
2.1 3
Plotting Points aka Graphing Points
( , ) x-value, y-value
– ++–
2.1 4
Find the Coordinates of these PointsA: (-5,1)
B: (-3,2)
C: (0,4)
D: (3,3)
E: (1,0)
F: (0,-3)
G: (-5,-4)
2.1 5
Quadrants and Coordinate Signs
2.1 6
Solutions to EquationsAny point on a graphed equation is a Solution
Why is (5,5) Why is (-3,3) Why is (-2,-1)a solution? a solution? a solution?
2.1 7
How to Check if a Point is a Solution Is (2,-4) a solution of 4x – 3y = 22 ? Substitute 2 for x, and -4 for y 4x – 3y = 22
4(2) – 3(-4) 22 ? 8 + 12 22 ? 20 ≠ 22 No, not a solution
Is (-3,-5) a solution of y = 2x + 1 ? y = 2x + 1
-5 2(-3) + 1 ? -5 -6 + 1 ? -5 = -5 Yes, it’s a solution!
2.1 8
Graph the equation y = x
2.1 9
Graph the equation y = 2x
2.1 10
Graph the equation y = -½x
2.1 11
Graph the equation y = |x|
2.1 12
Graph the equation y = x2 - 5
2.1 13
Warm up that Ol’ Homework… Next time: Section 2.2 Functions