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Middle/High School Algebra, Geometry, and Statistics (AGS)
1.9 Proof for Slope (X - axis and Y - axis)

1. Find the slope of X-axis.

X-axis is denoted by the equation y = 0.
Writing the equation y = 0 in the form of y = mx + c.
y = 0(x) + c
The slope of the straight line is the coefficient of x.
The coefficient of x = 0
Therefore, the slope of X-axis is zero.

2. Find the slope of Y-axis.

We know that Y-axis is denoted by the equation x = 0.
Slope-intercept form of the equation y = mx + c.
mx = y - c
x = (y-c)/x
But x = 0
Therefore m =(y-c)/0
But division by zero is not defined.

The slope of Y-axis is not defined.

Directions: Write the equation for x-axis and y-axis and draw the graph. Also find their slopes.
Q 1: The slope of Y-axis is ____________
infinity
zero
one
not defined

 Q 2: Y-axis is denoted by the equation ______
y = 0
x = y
x = 0
y = 1

Q 3: Slope-intercept form of the equation is _________
y = mx + ny
y = c
y = mx
y = mx + c

 Q 4: In the slope-intercept form of the equaiton y = mx + c, y intercept is ____
x
y
c
m

Q 5: X-axis is denoted by the equation _______
x = 1
x = 0
x = y
y = 0

 Q 6: In the slope-intercept form of the equaiton y = mx + c, slope is ____
m
y
c
x

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 Question 8: This question is available to subscribers only!


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