The graph of 3x + 2y = 6 meets the x-axis at point P and the y-axis at point Q. Use the graphical method to find the co-ordinates of points P and Q.
Coordinate Geometry
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Question

The graph of 3x + 2y = 6 meets the x-axis at point P and the y-axis at point Q. Use the graphical method to find the co-ordinates of points P and Q.

KnowledgeBoat · Accepted Answer

Step 1: Give at least three suitable values to the variable x and find the corresponding values of y. Let x = -2, then 3 (-2) + 2y = 6 ⇒ y = 6 Let x = -1, then 3 (-1) + 2y = 6 ⇒ y = 4.5 Let x = 0, then 3 0 + 2y = 6 ⇒ y = 3 Let x = 1, then 3 1 + 2y = 6 ⇒ y = 1.5 Let x = 2, then 3 2 + 2y = 6 ⇒ y = 0 Step 2: Make a table (as given below) for the different pairs of the values of x and y: Step 3: Plot the points, from the table, on a graph paper and then draw a straight line passing through the points plotted on the graph. The graph intersects the x-axis at P(2,0). The graph intersects the y-axis at Q(0,3). Hence, the coordinates of P = (2, 0) and Q = (0, 3).

Mathematics

The graph of 3x + 2y = 6 meets the x-axis at point P and the y-axis at point Q. Use the graphical method to find the co-ordinates of points P and Q.

Coordinate Geometry

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