Answer:
OPTION B: y = [tex]$ \frac{1}{2} $[/tex]x - 2
Step-by-step explanation:
To find the equation of the line substitute the value of x and compare the corresponding value of y.
OPTION A:
y = 2x + 4
Substitute x = 0. We get, 2(0) + 4 = 4
When x = 0, y = -2 [tex]$ \ne $[/tex] 4.
OPTION B:
y = [tex]$ \frac{1}{2} $[/tex]x - 2
Substitute x = 0, we get [tex]$ \frac{1}{2} (0) - 2$[/tex]
= -2
When x = 2, [tex]$ \frac{1}{2}(2) - 2 $[/tex] = 1 - 2
=-1
Similarly, When x = 4, [tex]$ \frac{1}{2}(4) - 2 = 2 - 2 $[/tex]
= 0.
Since, all the values are satisfied, OPTION B is the answer.
Substitute OPTION C and OPTION D. They do not satisfy the values either.
