Question

How do you find a standard form equation for the line (0,2) (2,2)?

Answer 1

`y=2`

Explanation:

Using a different approach but gives the same answer as Noobs

Let point 1 be `P_1->(x_1,y_1) = (0,2)`
Let point 2 be `P_2->(x_2,y_2)=(2,2)`

Using standard equation form:`" "y=mx+c`

where `m-> "gradient"`

`m->("change in y-axis")/("change in x-axis") = (y_2-y_1)/(x_2-x_1) = (2-2)/(2-0) = 0/2 = 0`

As the gradient is 0 there is no change up or down so the graph is that of a horizontal line ( parallel to the x-axis).

Thus the equation of the line is the value of y which is 2 so we have:

`y=2`