Example Question - y-axis
Here are examples of questions we've helped users solve.
Identifying a Point on the Y-Axis of a Coordinate Grid
<p>The y-axis on a coordinate grid is represented by the line where the x-coordinate is 0. Therefore, we are looking for a point where the first number (x-coordinate) is 0.</p> <p>Looking at the options given:</p> <p>\((0, 7)\) - This point has an x-coordinate of 0 and a y-coordinate of 7, so this point lies on the y-axis.</p> <p>\((7, 1)\) - This point has an x-coordinate of 7, so it does not lie on the y-axis.</p> <p>\((1, 7)\) - This point has an x-coordinate of 1, so it does not lie on the y-axis.</p> <p>\((7, 0)\) - This point lies on the x-axis, not the y-axis, because the y-coordinate is 0.</p> <p>Thus, the correct answer is \((0, 7)\).</p>
Point Reflection Over Y-Axis
To find the image of the point (8, 4) after a reflection over the y-axis, you change the sign of the x-coordinate while keeping the y-coordinate the same. This is because reflecting over the y-axis mirrors the point to the opposite side of the y-axis horizontally, but does not change its vertical position. Therefore, the image of (8, 4) after a reflection over the y-axis is (-8, 4).
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