draw the graph of 2x-3y=12 and find the area of triangle formed by line with x-axis and y-axis
Answers
Answer:
thsi is maths class 9 ryt
Answer:
The above image is the graph of the equation 2x+3y=12
The triangle formed with x- axis, y-axis and straight line 2x+3y=12 is a right angle triangle obviously right angle at the origin. Area of this triangle will be half of the area of rectangle whose length is 6 units and breadth is 4 units.
That is (6∗4)/2=24/2=12 square units.
Otherwise rewrite the equation 2x+3y=12 as y=(12−2x)/3
In the above equation if you substitute ‘0’ in the place of y you get x value as 6.
If you put ‘0’ in the place of x you get y value as 4. With that information you have two points (0,4) and (6,0) on the given straight line. Straight line 2x+3y=12 intersects x-axis at (6,0) and y-axis at (0,4). Nowyou have intercepts of x-axis and y-axis. You have a right angle triangle with the lengths of the two sides of triangle that forming right angle. Use the formula for area of right angle triangle you get the answer 12 square units.
