
The Graph Of y Equals Two xy = 2xOutput = 2 × InputHow do you graph y = 2x How do you draw y = 2x
Slider  see what happens to y when you change x
The Graph Of

Input  x =  0  1  2  3  Horizontal Axis 
Output = 2 × Input  y =  0  2  4  6  Vertical Axis 
Slider  see what happens to y when you change x
Input box  see the y that you get when you put in a value for x
y = gradient × x
y = mx
y = ax
y = x + intercept
y = x + c
y = x + b
y = gradient × x + intercept
y = mx + c
y = mx + b
y = ax + b
QUESTION
What is the meaning of y =
ANSWER
Think of y as being the end result [the output] of something being done to a number [the input]
So y = ....
means that y [the output]
on the left hand side
is generated by doing something
to a number [the input]
on the right hand side
QUESTION
What is an intercept?
ANSWER
An intercept is where the line of the graph cuts through either the x or the y axis
QUESTION
What is the is the
yintercept and xintercept ?
ANSWER
The y intercept is where
the line of the graph
cuts through the y axis
[the vertical axis]
The x intercept is where
the line of the graph
cuts through the x axis
[the horizontal axis]
QUESTION
What is the graph of x = 0 ?
ANSWER
Consider the equation x = 0
it means that x always equals 0
y is not involved in the equation
so it does not matter what y is.
The graph of x = 0
will be the same as
the vertical axis [the y axis]
because on this line
x is always equal to 0
but y can take any value.
Edited by Dr David Cornelius an Independent Private Maths Tutor with over 25 years of experience and The Secretary of The Association of Tutors in the UK for 15 years.

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