Answer:
b. x - 2y = 4
Explanation:
The two points on the graph are (0, -2) and (4, 0).
Find slope:
m = (y₂ - y₁) / (x₂ - x₁)
= (0 - (-2)) / (4 - 0)
= 2 / 4
= 1 / 2
Find y intercept using anyone of the points above:
y = mx + b
-2 = 1/2(0) + b
b = -2
Use m and b to make equation of line:
y = mx + b
y = 1/2x - 2
Possible answers:
a. 4x - 2y = 4
-2y = -4x + 4
y = 2x - 2
b. x - 2y = 4
-2y = -x + 4
y = 1/2x - 2
c. -2x + 4y = -4
4y = + 2x - 4
y = 1/2x - 1
Only choice b equals the equation of line above.