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]
