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### Middle/High School Algebra, Geometry, and Statistics (AGS)1.8 Slope - II

Draw the following graphs.
y = x + 3, y = 2x+ 3, y = -x+3 and y = -2x+3.

Ordered pairs for the graph y = x + 3
x-2-1012
y = x + 312345
Ordered pairs(-2,1)(-1,2)(0,3)(1,4)(2,5)

Ordered pairs for the graph y = 2x + 3
x-2-1012
y = 2x + 3-1135 7
Ordered pairs(-2,-1)(-1,1)(0,3)(1,5)(2,7)

Ordered pairs for the graph y = -x + 3
x-2-1012
y = -x + 354321
Ordered pairs(-2,5)(-1,4)(0,3)(1,2)(2,1)

Ordered pairs for the graph y = -2x + 3
x-2-1012
y = -2x + 37531 -1
Ordered pairs(-2,7)(-1,5)(0,3)(1,1)(2,-1)

Observing above graphs:

1. All these lines slopes are different.
2. All these lines y-intercept is equal and y-intercept is 3.
3. Each straight line intersects Y-axis at (0,3).
4. y-intercept of verys line is 3.
5. All these straight lines are concurrent at the point (0.3).

Directions: Draw the following graphs.
y = x + 5, y = 2x+ 5, y = -x+5 and y = -2x+5

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