Question

How do you graph the equation by plotting points `y = x - 2`?

Answer 1

See below

Explanation:

This is the equation of a line, so you only need two points to plot it. To find two points on the line, plug two random `x` values and compute the corresponding `y` values. For example, let's choose `x=0` and `x=1`.

`x = 0` yields `y = 0 - 2 = -2`

So, the first point is `(0,-2)`

`x = 1` yields `y = 1 - 2 = -1`

So, the first point is `(1,-1)`

Draw the two points and connect them, and you have the line

Answer 2

`"see explanation"`

Explanation:

`"one way is to find the intercepts, that is where the graph"`
`"crosses the x and y axes"`

`• " let x = 0, in the equation for y-intercept"`

`• " let y = 0, in the equation for x-intercept"`

`x=0rArry=-2larrcolor(red)"y-intercept"`

`y=0rArrx-2=0rArrx=2larrcolor(red)"x-intercept"`

`"plot the points "(0,-2)" and "(2,0)`

`"draw a straight line through them for graph"`
graph{(y-x+2)((x-0)^2+(y+2)^2-0.04)((x-2)^2+(y-0)^2-0.04)=0 [-10, 10, -5, 5]}