Draw the graph of straight line y = -2x + 3. Use your graph to find : (i) the intercept on y-axis (ii) the area between the line and co-ordinate axes.

Given equation: y = -2x + 3 Step 1: Give at least three suitable values to the variable x and find the corresponding values of y. Let x = 0, then y = -2 0 + 3 ⇒ y = 3 Let x = 1, then y = -2 1 + 3 ⇒ y = 1 Let x = 2, then y = -2 2 + 3 ⇒ y = -1 Step 2: Make a table (as given below) for the different pairs of the values of x and y: x | 0 | 1 | 2 --|--- |---|--- y | 3 | 1 | -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. (i) The y-intercept is the value of y when x = 0, which is 3. Hence, the intercept on y-axis is 3. (ii) The triangle formed by the line and coordinate axes has the following vertices: A(0, 3), B(0, 0), C(1.5, 0) Area of triangle ABC = x BC x AB = x 1.5 x 3 = 2.25 sq. units Hence, the area between the line and co-ordinate axes = 3.75 sq. units.

Solve, graphically :
2x - 3y = 7
5x + y = 9

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Solve, graphically :
15x - 8y = 29
17x + 12y = 75

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

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Draw the graph of the straight line whose table is given below.
x -1 1 .... 0 3
y -3 .... -7 -1 5
(i) Write down the linear relation between x and y.
(ii) Use the graph to find the missing numbers.

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Mathematics

Draw the graph of straight line y = -2x + 3. Use your graph to find :
(i) the intercept on y-axis
(ii) the area between the line and co-ordinate axes.

Graphical Solution

Related Questions

Solve, graphically :
2x - 3y = 7
5x + y = 9

Solve, graphically :
15x - 8y = 29
17x + 12y = 75

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

Draw the graph of the straight line whose table is given below.
x -1 1 .... 0 3
y -3 .... -7 -1 5
(i) Write down the linear relation between x and y.
(ii) Use the graph to find the missing numbers.

Mathematics

Draw the graph of straight line y = -2x + 3. Use your graph to find :(i) the intercept on y-axis(ii) the area between the line and co-ordinate axes.

Graphical Solution

Related Questions

Solve, graphically :2x - 3y = 75x + y = 9

Solve, graphically :15x - 8y = 2917x + 12y = 75

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

Draw the graph of the straight line whose table is given below.x-11....03y-3....-7-15(i) Write down the linear relation between x and y.(ii) Use the graph to find the missing numbers.

Draw the graph of straight line y = -2x + 3. Use your graph to find :
(i) the intercept on y-axis
(ii) the area between the line and co-ordinate axes.

Solve, graphically :
2x - 3y = 7
5x + y = 9

Solve, graphically :
15x - 8y = 29
17x + 12y = 75

Draw the graph of the straight line whose table is given below.
x -1 1 .... 0 3
y -3 .... -7 -1 5
(i) Write down the linear relation between x and y.
(ii) Use the graph to find the missing numbers.