Can anyone help ?\me with this algebra answer

B) 2x-y=5

Step-by-step explanation:

Info we have:

The x-intercept is 2.5

The slope is 2/1=2

Therefore, our equation so far is y=2x+b

We plug in our x-intercept in and make y=0 to get b:

0=2(2.5)+b

0=5+b

-5=b

Therefore, the equation of the line is y=2x-5

Given our found equation, we can see which option works.

A is wrong because 2x+y=-5 -> y=-5-2x -> y=-2x-5

B is right because 2x-y=5 -> -y=5-2x -> y=-5+2x -> y=2x-5

C is wrong because x+2y=-5 -> 2y=-5-x -> y=-2.5-1/2x -> y=-1/2x-2.5

D is wrong because 2y-x=10 -> 2y=10+x -> y=5+1/2x -> y=1/2x+5