The distance of the point (4, 7) from the x-axis is :

Step 1: Identify the coordinates

We are given a point $P$ with coordinates $(4, 7)$. Here, $x=4$ and $y=7$.

Step 2: Understand distance from x-axis

The distance of any point $(x, y)$ from the $x$ -axis is the absolute value of its $y$ -coordinate. This is because the $x$ -axis is defined by $y=0$, and the vertical distance to this line is simply the $y$ -value.

Step 3: Calculate the distance

Substituting the $y$ -coordinate of the given point, which is $7$, into the formula, we find the distance to be $7$ units.

More from this chapter

• Q7. If A(a, 0), B(1, 1) and C(0, b) form a triangle, right angled at B when joined, then establish a relation between a and b. [2 Marks]
• Find the ratio in which the line segment joining the points (-3, 10) and (6, -8) is divided by the point (-1, 6).
• Find a point on the y-axis that is at the same distance from the points (-5, 2) and (9, -2).
• Find the coordinates of the point which divides the line segment joining (4, -3) and (8, 5) in the ratio 3:1 internally.
• Find the relation between x and y if the point (x, y) is equidistant from (7, 1) and (3, 5).
• 1. Find the distance between the following pairs of points: (i) (2, 3), (4, 1) (ii) (-5, 7), (-1, 3) (iii) (a, b), (-a, -b)
• Find the coordinates of the points of trisection of the line segment joining the points A(2, -2) and B(-7, 4).
• Find the ratio in which the line segment joining A(1, -5) and B(-4, 5) is divided by the x-axis, and find the coordinates of the point of division.

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