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Online Quiz (Worksheet A B C D)

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Middle/High School Algebra, Geometry, and Statistics (AGS)
1.3 Graph of y = x, y = 2x, y = (1/2)x and y = (1/3)x

Draw the following graphs:

y = x,  y = 2x,  y = (1/2)x and y = (1/3)x.

In the above problems to find y value we can take any real number for x, but our convenience we are taking only integers.

The ordered pairs for the graph y = x
x-3-2-10123
y = x-3-2-10123
Ordered pairs(-3,-3)(-2,-2)(-1,-1)(0,0) (1,1)(2,2)(3,3)

The ordered pairs for the graph y = 2x
>
x-3-2-1123
y = x-6-4-2246
Ordered pairs(-3,-6)(-2,-4)(-1,-2) (1,2)(2,4)(3,6)

The ordered pairs for the graph y = (1/3)x
x-6-336
y = x-2-112
Ordered pairs(-6,-2)(-3,-1)(3,1)(6,2)

The ordered pairs for the graph y = (1/2)x
x-6-4-224 6
y = x-3-2-1123
Ordered pairs(-6,-3)(-4,-2)(-2,-1) (2,1)(4,2)(6,3)

Observing above graphs:

1. All these lines are passing through the origin.

2. All these lines are passing through I and III quadrants.

3. The general form of the relation is y = mx, where m = 1, 2, 1/2 and 1/3

4. For positive values of m, that is when the coefficient of x is positive the graph slopes upward to the right.  As the values of m increase the lines move towards y axis.

5. In the graph y = mx, m is known as the slope, and it is the coefficient of x.

6. m = y/x slope is the ratio between y-coordinate and x-coordinate.


Directions: Draw the graph for y = x, y = 3x, y = (1/4)x and y = 5x

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