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# Extend the line segment on both sides to meet the coordinate axes. What are the coordinates of the points where this line meets the x-axis and the y-axis

**Solution:**

The graph below shows the two points and the line passing through them.

The line passing through points (2,4) and (4,2) intersects with the x axis at B the coordinates of which are (6,0). The line intersects at y axis at point A which has the coordinates (0,6).

**✦ Try This: **Plot the points (3, 5) and (5, 3) on a graph paper, then draw a line segment joining these two points. Extend the line segment on both sides to meet the coordinate axes. What are the coordinates of the points where this line meets the x-axis and the y-axis?

The points (3,5) and (5,3) are plotted as shown below.

The point where the line meets the x-axis is B, the coordinates of which are (8,0). The line meets the y-axis at point A which has the coordinates (0,8).

**☛ Also Check: **NCERT Solutions for Class 8 Maths Chapter 15

**NCERT Exemplar Class 8 Maths Chapter 12 Problem 67**

## Extend the line segment on both sides to meet the coordinate axes.What are the coordinates of the points where this line meets the x-axis and the y-axis?

**Summary:**

The line graph plotted with help of points (2,4) and (4,2) intersects the Y axis at point A(0,6) and X-axis at point B (6, 0).

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