Remark
The first thing you have to do is find out where the x intercept of the given equation is. Then you have to try them all to see where their x intercept is.
Step 1
Find the x intercept of the given equation. The point you want is (x1,0) which is obtained by letting y = 0
y = 2x - 5
0 = 2x - 5 Add 5 to both sides.
5 = 2x Divide by 2
5/2 = x
x = 2.5
Step Two
Find the line equation that has (2.5,0) as it's intercept. There is no quick way to do this.
A
0 = (1/2)x + 10 Subtract 10 from both sides.
-10 = (1/2)x
You don't have to go any further. You are getting a negative result for x.
A is not the answer.
B
0 = (1/3) x + 10/3 Subtract 10/3 from both sides.
-10/3 = (1/3) x And again, you are getting something negative. B is not the answer
C
0 = (-2/3)x + 5 Subtract 5 from both sides.
- 5 = -(2/3)x Multiply by - 3/2 on both sides
-5*-3/2 = x
x = 15/2
x = 7.5 and this turns out to be wrong.
D
0 = (-2/3) x + 5/3 Subtract 5/3 from both sides
- 5/3 = (-2/3) x Multiply both sides by 3
-5 = - 2x Divide by - 2
-5/-2 = -2x/-2
2.5 = x
Answer: D