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Middle/High School Algebra, Geometry, and Statistics (AGS)
1.4 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 value for x, but our convenience we are taking only integers.

The ordered pairs for the graph y = -x
y = -x21-1-2
Ordered pairs(-2,2)(-1,1)(1,-1)(2,-2)

The ordered pairs for the graph y = -2x
y = -2x42-2-4
Ordered pairs(-2,4)(-1,2)(1,-2)(2,-4)

The ordered pairs for the graph y = -(1/2)x
y = -(1/2)x21-1-2
Ordered pairs(-4,2)(-2,1)(2,-1)(4,-2)

The ordered pairs for the graph y = -(1/3)x
y = -(1/3)x21-1-2
Ordered pairs(-6,2)(-3,1)(3,-1)(6,-2)

Observing above graphs:

1. All these lines are passing through the origin.
2. All these lines are passing through II and IV quadrants.
3. The general form of these lines are y = mx, where m = -1/3, -1/2, -1 and -2.
4. For negative value of m that is the coefficient of x is negative and the graph slopes upwards to left, as the value of m decreases the line move towards Y-axis.
5. In y = mx, m is known as the slope and m is the coefficient of x.
6. m = y/m, that is slope is the ratio between y-coordinate and x-coordinate.

For any m R, y = mx is a straight line and passes through the origin.

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

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