Respuesta :

Answer:

y-intercept:  ( 0 , − 2 )

Step-by-step explanation:

To find the y-intercept, substitute in  0  for  x  and solve for  y

Answer:

(0,-2)

Step-by-step explanation:

Start with:

[tex]2x-5y=10[/tex]

We are going to want this equation in slope-intercept form.

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

[tex]mx=slope[/tex]

[tex]b=y-intercept[/tex]

To get the equation in slope intercept from, start by subtracting [tex]2x[/tex] from both sides of the equation:

[tex]-5y=-2x+10[/tex]

Now, divide both sides of the equation by [tex]-5[/tex]:

[tex]y=-\frac{2}{5}x -2[/tex]

[tex]b=-2[/tex]

[tex](0,-2)[/tex]