What are the coordinates of A?

Correct answer: a (0, 3)

The slope is −1 and the line is y − 4 = −(x + 1), that is y = −x + 3; x = 0 gives A(0, 3).

Why the other options are wrong

• b (0, −3): The slope is −1 and the line is y − 4 = −(x + 1), that is y = −x + 3; x = 0 gives A(0, 3). So (0, −3) is not the answer.
• c (−3, 0): The slope is −1 and the line is y − 4 = −(x + 1), that is y = −x + 3; x = 0 gives A(0, 3). So (−3, 0) is not the answer.
• d (3, 0): (3, 0) is the x-intercept point; A is on the y-axis, so its abscissa is zero.