Draw the graph of equation 3x - 4y = 12. Use the graph drawn to find : (i) y1, the value of y, when x = 4 (ii) y2, the value of y, when x = 0.

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) - 4y = 12 ⇒ y = -4.5 Let x = 1, then 3 1 - 4y = 12 ⇒ y = -2.2 Let x = 2, then 3 2 - 4y = 12 ⇒ y = -1.5 Let x = 4, then 3 4 - 4y = 12 ⇒ y = 0 Step 2: Make a table (as given below) for the different pairs of the values of x and y: x | -2 | 1 | 2 | 4 --|--- |--- |---|--- y |-4.5|-2.2 |-1.5|0 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. (i) To find y1, the value of y, when x = 4: Through the point x = 4, draw a horizontal line which meets the y-axis at y = 0. Hence, the value of y, when x = 4 is 0 , i.e, y1 = 0. (ii) To find y2, the value of y, when x = 0: Through the point x = 0, draw a vertical line which meets the y-axis at x = -3. Hence, the value of y, when x = 0 is -3 , i.e, y2 = -3.

JOIN NOW

Mathematics

Draw the graph of equation 3x - 4y = 12. Use the graph drawn to find :
(i) y₁, the value of y, when x = 4
(ii) y₂, the value of y, when x = 0.

Coordinate Geometry

3 Likes

Answered By

2 Likes

Mathematics

Draw the graph of equation 3x - 4y = 12. Use the graph drawn to find :
(i) y₁, the value of y, when x = 4
(ii) y₂, the value of y, when x = 0.

Coordinate Geometry

Related Questions

In rectangle OABC; point O is the origin, OA = 10 units along x-axis and AB = 8 units. Find the co-ordinates of vertices A, B and C.

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

Mathematics

Draw the graph of equation 3x - 4y = 12. Use the graph drawn to find :(i) y1, the value of y, when x = 4(ii) y2, the value of y, when x = 0.

Coordinate Geometry

Related Questions

In rectangle OABC; point O is the origin, OA = 10 units along x-axis and AB = 8 units. Find the co-ordinates of vertices A, B and C.

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

Draw the graph of equation 3x - 4y = 12. Use the graph drawn to find :
(i) y₁, the value of y, when x = 4
(ii) y₂, the value of y, when x = 0.

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