Question

To obtain a linear equation and draw a graph which represents the linear equation, and from the graph (i) Name the figure obtained by the line and the axes, find its area and (ii) Write the coordinates of the x-intercept and y-intercept.
Procedure
Let us consider a situation. Suppose you have 60 rupees to spend. You went to a stationery shop to buy some pencils and some pens. Cost of 1 pencil is Rs. 2 and the cost of 1 pen is Rs. 4. Find the number of pencils and pens bought by you from the shop. 1. Construct a linear equation in two variables. 2. Let the number of pencils be x and number of pens be y. 3. According to the given situation, 2x + 4y = 60 ⇒x + 2y = 30 4. Now we have to represent this situation on the graph paper. 5. By taking different values of x we get different values of y. Put different values of x given in table to get corresponding values y as shown
X- 0 10 20
y- 15 10 5​
6. aTake a graph paper and a Cartesian system is drawn, i.e., x-axis and Y-axis are drawn.

7. Plot the coordinates from the above table on the graph and name them as A (0, 15), B (10, 10), C (20, 5) 8. On joining the points A, B and C we get a straight line.

Observation

We get a straight line, which represents the linear equation [fig. (i)]. 2. On the line there are infinitely many coordinates. But, according to the situation we have taken those points or coordinate which are natural numbers.

Result

We observed that for the given equation, we get a straight line on the graph paper which cuts the x-axis at a point called as X-intercept and y-axis called as Y-intercept.

The figure obtained is a _______ and its area is _______

Coordinates of X-intercept is _______ and coordinates of Y- intercept is _______​

Answer 1

Answer:

The answer is 321876943