Answer:
B) 2x-y=5
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