Question

HELP PLEASE: Which is the equation of the graphed line written in

standard form?
O y = x
O x - 2y = 0
O x - y = 0
O ya

Answer 1

`x - y = 0`

Explanation:

Required

The graph equation

From the graph, we have:

`(x_1,y_1) = (0,0)`

`(x_2,y_2) = (1,1)`

The slope of the graph is:

`m = (y_2 - y_1)/(x_2 - x_1)`

`m = (1-0)/(1-0)`

`m = (1)/(1)`

`m =1`

So, the graph equation is:

`y = m(x - x_1) + y_1`

`y = 1 * (x - 0) + 0`

`y = 1 * x`

`y = x`

In standard form, we have:

`x - y = 0`