Question

finding the coordinates of a point in exercises 7 and 8, find the coordinates of the point. 7. the point is three units to the left of the y - axis and four units above the x - axis. 8. the point is on the x - axis and 12 units to the left of the y - axis.

Explanation:

Step1: Determine the x - coordinate

For a point \(P(x,y)\), if it is \(a\) units to the left of the \(y\) - axis, then \(x=-a\).
For problem 7: Since the point is three units to the left of the \(y\) - axis, \(x = - 3\).
For problem 8: Since the point is 12 units to the left of the \(y\) - axis, \(x=-12\).

Step2: Determine the y - coordinate

For a point \(P(x,y)\), if it is \(b\) units above the \(x\) - axis, then \(y = b\); if it is on the \(x\) - axis, then \(y = 0\).
For problem 7: Since the point is four units above the \(x\) - axis, \(y = 4\).
For problem 8: Since the point is on the \(x\) - axis, \(y = 0\).

Answer:

1. The coordinates of the point are \((-3,4)\).
2. The coordinates of the point are \((-12,0)\).