The distance of ( - 4, 7) from y-axis is :
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Step-by-Step Solution
Step 1: Understand the coordinate system
In a Cartesian coordinate system, a point is represented by its coordinates (x, y), where x is the horizontal distance from the y -axis and y is the vertical distance from the x -axis. The y -axis is the vertical line where the x -coordinate is always 0.
Step 2: Identify the given point
We are given the point P with coordinates (−4,7). Here, the x -coordinate is −4 and the y -coordinate is 7.
Step 3: Determine distance from y-axis
The distance of any point (x, y) from the y -axis is the absolute value of its x -coordinate. This is because distance is always a non-negative value.
Step 4: Calculate the distance
Substituting the x -coordinate of the given point, which is −4, into the formula, we get the distance as ∣−4∣, which simplifies to 4.