Question

what are the coordinates of point j?
coordinate plane with x-axis from -6 to 6, y-axis from -6 to 6, point j plotted
options:
○ (-4, -6)
○ (4, -6)
○ (-4, 6)
○ (6, -4)

Explanation:

To determine the coordinates of a point on a coordinate plane, we use the form \((x, y)\), where \(x\) is the horizontal (left - right) coordinate and \(y\) is the vertical (up - down) coordinate.

Step 1: Find the \(x\) - coordinate of Point \(J\)

We look at the horizontal axis (x - axis). Point \(J\) is to the left of the origin (where \(x = 0\)). Moving from the origin to the left, we count the units. Each grid line represents 1 unit. Point \(J\) is 4 units to the left of the origin, so the \(x\) - coordinate is \(- 4\) (negative because it is to the left of the origin).

Step 2: Find the \(y\) - coordinate of Point \(J\)

We look at the vertical axis (y - axis). Point \(J\) is above the origin (where \(y=0\)). Moving from the origin upwards, we count the units. Point \(J\) is 6 units above the origin, so the \(y\) - coordinate is \(6\) (positive because it is above the origin).

Combining the \(x\) and \(y\) coordinates, the coordinates of Point \(J\) are \((-4,6)\).

Answer:

C. \((-4, 6)\)