How do you graph the line #y=-x+2#?

1 Answer
Mar 7, 2016

Answer:

I decided that the best way to do this is by using pictures with a bit of explanation

Explanation:

The equation #y=x# is saying: whatever value you decide to give to #x# will also end up being the same value for #y#

Notice that the graph goes upwards as you move from left to right
This is called a positive slope (gradient)
If it had been #y=-x# then the slope would go down as you move from left to right.

Tony B

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This is what happens when the #x# in the equation is written as #-x#

Negative values of #x# are made positive: Example #y=(-1)xx(-2)=+2#

Positive values of #x# are made negative: Example #y=(-1)xx(2)=-2#

Tony B

Tony B

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
The equation #y=-x+2# is virtually the same as #y=-x # but the whole thing is lifted up 2

Tony B

Tony B