Question

Write an equation in slope-intercept form for the line described.

x-intercept (-9,0), y-intercept (0,2)

The equation of the line is y= .

(Simplify your answer. Type your answer in slope-intercept form. Use i

Answer 1

`y = (2x)/(9) + 2`

Explanation:

The general slope intercept form is:

`y = mx + b`

In which m is the slope and b is the y coordinate of the y-intercept.

y-intercept (0,2)

This means that
`b = 2`

So

`y = mx + 2`

x-intercept (-9,0)

This means that when
`y = 0, x = -9`. So

`0 = -9m + 2`

`9m = 2`

`m = (2)/(9)`

The answer is:

`y = (2x)/(9) + 2`