Use the graphical method to find the value of k, if :
(i) (k, -3) lies on the straight line 2x + 3y = 1
(ii) (5, k - 2) lies on the straight line x - 2y + 1 = 0

Question

Use the graphical method to find the value of k, if : (i) (k, -3) lies on the straight line 2x + 3y = 1 (ii) (5, k - 2) lies on the straight line x - 2y + 1 = 0

KnowledgeBoat · Accepted Answer

(i) 2x + 3y = 1 Step 1: Give at least three suitable values to the variable x and find the corresponding values of y. Let x = 0, then 2 0 + 3y = 1 ⇒ y = 0.3 Let x = 2, then 2 2 + 3y = 1 ⇒ y = -1 Let x = 4, then 2 4 + 3y = 1 ⇒ y = -2.3 Step 2: Make a table (as given below) for the different pairs of the values of x and y: x | 0 | 2 | 4 --|---|---|--- y |0.3|-1 |-2.3 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. Since, point (k, -3) lies on the straight line drawn, through y = -3, draw a horizontal line which meets the straight line at point, say Q. Through point Q, draw a vertical line which meets the x-axis at 5. Hence, the value of k = 5. (ii) x - 2y + 1 = 0 Step 1: Give at least three suitable values to the variable x and find the corresponding values of y. Let x = -1, then -1 - 2y + 1 = 0 ⇒ y = 0 Let x = 0, then 0 - 2y + 1 = 0 ⇒ y = 0.5 Let x = 1, then 1 - 2y + 1 = 0 ⇒ y = 1 Step 2: Make a table (as given below) for the different pairs of the values of x and y: x | -1| 0 | 1 --|---|---|--- y | 0 |0.5| 1 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. Since, point (5, k - 2) lies on the straight line drawn, through x = 5, draw a vertical line which meets the graph at a point, say Q. Through point Q, draw a horizontal line which meets the y-axis at point 3. k - 2 = 3 ⇒ k = 3 + 2 ⇒ k = 5 Hence, the value of k = 5.

Mathematics

Use the graphical method to find the value of k, if :
(i) (k, -3) lies on the straight line 2x + 3y = 1
(ii) (5, k - 2) lies on the straight line x - 2y + 1 = 0

Graphical Solution

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(Take at least 3 points for each line drawn).

Mathematics

Use the graphical method to find the value of k, if :(i) (k, -3) lies on the straight line 2x + 3y = 1(ii) (5, k - 2) lies on the straight line x - 2y + 1 = 0

Graphical Solution

Related Questions

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Using the same axes of co-ordinates and the same unit, solve graphically :x + y = 0 and 3x - 2y = 10.(Take at least 3 points for each line drawn).

Use the graphical method to find the value of k, if :
(i) (k, -3) lies on the straight line 2x + 3y = 1
(ii) (5, k - 2) lies on the straight line x - 2y + 1 = 0

Find graphically, the vertices of the triangle whose sides have the equations 2y - x = 8; 5y - x = 14 and y - 2x = 1 respectively.
Take 1 cm = 1 unit on both the axes.

Using the same axes of co-ordinates and the same unit, solve graphically :
x + y = 0 and 3x - 2y = 10.
(Take at least 3 points for each line drawn).