Question

Draw the line passing through (2, 3) and (3, 2). Find the coordinates of the points at which this line meets the x-axis and y-axis.

Answer 1

Hint: We know that a coordinate point is a set of numbers used to identify the location of a point on a graph. Each point is identified by both an ‘x’ and ‘y’ coordinate. The x-coordinate of a point and y-coordinate of a point is the value that tells you how far from the origin the point is on the horizontal line and the vertical line respectively. Using this concept we can point out the coordinates (2, 3) and (3, 2) and we can draw a graph as well.

Complete step-by-step answer:
Given coordinates \[(x,y) = (2,3)\]
First, draw a line extending out from the x-axis at the x-coordinate of the point. In our problem, this is at 2. Then, draw a line extending out from the y-axis at the y-coordinate of the point. In our problem, this is at 3. The point where these two lines intersect is at the point we are plotting, (2, 3).
Let’s see in the below graph,

Similarly we follow the same procedure for the coordinate \[(x,y) = (3,2)\] . We join these two coordinate points by a straight line such that it meets x-axis and y-axis.

We can observe from the graph that the line joining the point (2, 3) and (3, 2) meets the x-axis at the point (5, 0) and the y-axis at the point (0, 5).
So, the correct answer is “(5, 0)”.

Note: We know that the coordinate of any point on X-axis is (x, 0) and the coordinate of any point on Y-axis is (0, y). That is what we get in the above problem that is (5, 0) and (0, 5). Learn how to indicate a coordinate point in a graph, which we explained in above. We follow the same procedure to indicate the coordinate points in a graph for any problem based on the graph.