Draw the graph of the equation 2x - 3y - 5 = 0 From the graph, find : (i) x1, the value of x, when y = 7 (ii) x2, the value of x, when y = -5

Step 1: Give at least three suitable values to the variable x and find the corresponding values of y. Let x = -2, then 2 (-2) - 3y - 5 = 0 ⇒ y = -3 Let x = 0, then 2 0 - 3y - 5 = 0 ⇒ y = -1.6 Let x = 2, then 2 2 - 3y - 5 = 0 ⇒ y = -0.3 Let x = 5, then 2 5 - 3y - 5 = 0 ⇒ y = 1.6 Step 2: Make a table (as given below) for the different pairs of the values of x and y: x | -2 | 0 | 2 | 5 --|--- |--- |---|-- y | -3 |-1.6|-0.3| 1.6 Step 3: Plot the points, from the table, on a graph paper and then draw a straight line AB passing through the points plotted on the graph. (i) To find x1, the value of x, when y = 7: Through the point y = 7, draw a horizontal straight line which meets the line AB at point C. Through point C, draw a vertical line which meets the x-axis at x = 13. Hence, the value of x, when y = 7 is 13 , i.e, x1 = 13. (ii) To find x2, the value of x, when y = -5: Through the point y = -5, draw a horizontal straight line which meets the line AB at point D. Through point D, draw a vertical line which meets the x - axis at x = -5. Hence, the value of x, when y = -5 is -5, i.e, x2 = -5.

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Draw the graph of the straight line given by the equation 4x - 3y + 36 = 0
Calculate the area of the triangle formed by the line drawn and the co-ordinate axes.

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Draw the graph of the equation
4x + 3y + 6 = 0
From the graph, find :
(i) y₁, the value of y, when x = 12
(ii) y₂, the value of y, when x = -6

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Use the table given below to draw the graph.
x -5 -1 3 b 13
y -2 a 2 5 7
From your graph, find the values of 'a' and 'b'. State a linear relation between the variables x and y.

x	-5	-1	3	b	13
y	-2	a	2	5	7

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Mathematics

Draw the graph of the equation
2x - 3y - 5 = 0
From the graph, find :
(i) x₁, the value of x, when y = 7
(ii) x₂, the value of x, when y = -5

Graphical Solution

Related Questions

Draw the graph of the straight line given by the equation 4x - 3y + 36 = 0
Calculate the area of the triangle formed by the line drawn and the co-ordinate axes.

Draw the graph of the equation
4x + 3y + 6 = 0
From the graph, find :
(i) y₁, the value of y, when x = 12
(ii) y₂, the value of y, when x = -6

Use the table given below to draw the graph.
x -5 -1 3 b 13
y -2 a 2 5 7
From your graph, find the values of 'a' and 'b'. State a linear relation between the variables x and y.

Mathematics

Draw the graph of the equation2x - 3y - 5 = 0From the graph, find :(i) x1, the value of x, when y = 7(ii) x2, the value of x, when y = -5

Graphical Solution

Related Questions

Draw the graph of the straight line given by the equation 4x - 3y + 36 = 0Calculate the area of the triangle formed by the line drawn and the co-ordinate axes.

Draw the graph of the equation4x + 3y + 6 = 0From the graph, find :(i) y1, the value of y, when x = 12(ii) y2, the value of y, when x = -6

Use the table given below to draw the graph.x-5-13b13y-2a257From your graph, find the values of 'a' and 'b'. State a linear relation between the variables x and y.

Draw the graph of the equation
2x - 3y - 5 = 0
From the graph, find :
(i) x₁, the value of x, when y = 7
(ii) x₂, the value of x, when y = -5

Draw the graph of the straight line given by the equation 4x - 3y + 36 = 0
Calculate the area of the triangle formed by the line drawn and the co-ordinate axes.

Draw the graph of the equation
4x + 3y + 6 = 0
From the graph, find :
(i) y₁, the value of y, when x = 12
(ii) y₂, the value of y, when x = -6

Use the table given below to draw the graph.
x -5 -1 3 b 13
y -2 a 2 5 7
From your graph, find the values of 'a' and 'b'. State a linear relation between the variables x and y.