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

Step 1: Give at least three suitable values to the variable x and find the corresponding values of y. Let x = -3, then 4 (-3) + 3y + 6 = 0 ⇒ y = 2 Let x = 0, then 4 0 + 3y + 6 = 0 ⇒ y = -2 Let x = 3, then 4 3 + 3y + 6 = 0 ⇒ y = -6 Let x = 8, then 4 8 + 3y + 6 = 0 ⇒ y = -12.6 Step 2: Make a table (as given below) for the different pairs of the values of x and y: x | -3 | 0 | 3 | 8 --|--- |--- |---|--- y | 2 |-2 |-6 |-12.6 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 y1, the value of y, when x = 12: Through the point x = 12, draw a vertical straight line which meets the line AB at point C. Through point C, draw a horizontal line which meets the y-axis at y = -18. Hence, the value of y, when x = 12 is -18 , i.e, y1 = -18. (ii) To find y2, the value of y, when x = -6: Through the point x = -6, draw a vertical straight line which meets the line AB at point D. Through point D, draw a horizontal line which meets the y-axis at y = 6. Hence, the value of x, when y = -5 is 6, i.e, y2 = 6.

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
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

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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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Draw the graph obtained from the table below :
x a 3 -5 5 c -1
y -1 2 b 3 4 0
Use the graph to find the values of a, b and c. State a linear relation between the variables x and y.

x	a	3	-5	5	c	-1
y	-1	2	b	3	4	0

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Mathematics

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

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
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

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.

Draw the graph obtained from the table below :
x a 3 -5 5 c -1
y -1 2 b 3 4 0
Use the graph to find the values of a, b and c. State a linear relation between the variables x and y.

Mathematics

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

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 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

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 obtained from the table below :xa3-55c-1y-12b340Use the graph to find the values of a, b and c. State a linear relation between the variables x and y.

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

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
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

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.

Draw the graph obtained from the table below :
x a 3 -5 5 c -1
y -1 2 b 3 4 0
Use the graph to find the values of a, b and c. State a linear relation between the variables x and y.