Question

introduction to the coordinate plane - item 2754
which of the points shown is on the y - axis?
point z
point w
point v
point x

Explanation:

Step1: Recall the property of points on the y - axis

A point \((x,y)\) is on the \(y\) - axis if \(x = 0\).

Step2: Find the coordinates of each point

• For point \(Z\): Looking at the coordinate plane, the \(x\) - coordinate of point \(Z\) is \(0\) and the \(y\) - coordinate is \(3\) (assuming the grid scale). So the coordinates of \(Z\) are \((0,3)\).
• For point \(W\): The \(x\) - coordinate of point \(W\) is \(4\) and \(y = 0\), so \(W=(4,0)\) (on the \(x\) - axis).
• For point \(V\): The \(x\) - coordinate of point \(V\) is \(0\) and \(y=- 2\), so \(V=(0, - 2)\). But we check the problem's figure (assuming standard grid where \(Z\) is the one marked as a candidate on \(y\) - axis in the problem's layout).
• For point \(X\): The \(x\) - coordinate of point \(X\) is \(2\) and \(y=-3\), so \(X=(2,-3)\).

Answer:

Point \(Z\)