contestada

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

Respuesta :

Answer:

[tex]y = \frac{2x}{9} + 2[/tex]

Step-by-step explanation:

The general slope intercept form is:

[tex]y = mx + b[/tex]

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

y-intercept (0,2)

This means that [tex]b = 2[/tex]

So

[tex]y = mx + 2[/tex]

x-intercept (-9,0)

This means that when [tex]y = 0, x = -9[/tex]. So

[tex]0 = -9m + 2[/tex]

[tex]9m = 2[/tex]

[tex]m = \frac{2}{9}[/tex]

The answer is:

[tex]y = \frac{2x}{9} + 2[/tex]