Answer:
The answer is A ⇒ y = Ix + 3I - 4
Step-by-step explanation:
∵ The equation with positive slope is:
∵ The line passing through (1 , 0) and (0 , -1)
∴ the slope = (-1 - 0)/(0 - 1) = -1/-1 = 1
∵ y- intercept = -1
∴ y = x - 1 ⇒ (1)
∵ The equation with negative slope is:
∵ The line passing through (-7 , 0) and (-3 , -4)
∴ the slope = (-4 - 0)/(-3 - -7) = -4/4 = -1
∴ y = -x + c ⇒ use point (-7 , 0) to find c
∴ 0 = -(-7) + c ⇒ 0 = 7 + c ⇒ c = -7
∴ y = -x - 7 ⇒ (2)
We will choose the answer which give us these equations
∵ A) ⇒ y = Ix + 3I - 4 ⇒ Ix + 3I means (x + 3) or -(x + 3)
∴ y = x + 3 - 4 and y = -(x + 3) - 4
∴ y = x -1 and y = -x - 3 - 4 = -x - 7
∵ y = x - 1 is the same with equation (1)
∵ y = -x - 7 is the same with equation (2)
∴The answer is y = Ix + 3I - 4
