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

Question

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

KnowledgeBoat · Accepted Answer

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.

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

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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

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