Question

What is the equation of the following line? be sure to scroll down first to see all answer options

Answer 1

The equation for the following graph:

`y = -(1)/(5)x`

Explanation:

- You first need to find the slope by using the slope formula:

`m = (y_(2) - y_(1))/(x_(2) - x_(1))`

(where
`(x_(1),y_(1))` is the first point and
`(x_(2), y_(2))` is the second point)

-Use the given points
`(0,0)` and
`(10, -2)` from the graph for the formula:

`m = (-2 - 0)/(10 - 0)`

Then, you solve:

`m = (-2 - 0)/(10 - 0)`

`m = -(1)/(5)`

After you have found the slope, use the slope
`-(1)/(5)` and the first point
`(0,0)` for the point-slope formula:

`y - y_(1) = m ( x - x_(1))`

(where
`m` is the slope and
`(x_(1), y_(1))` is the first point)

`y - 0 = -(1)/(5) ( x - 0)`

Then, you solve:

`y - 0 = -(1)/(5) ( x - 0)`

`y - 0 = -(1)/(5)x - 0`

`y - 0 + 0 = -(1)/(5) - 0 + 0`

`y = -(1)/(5)x`

So, the equation for the following graph is
`y = -(1)/(5)x` .