Question

1. Draw the graphs of linear equations y = x and y = -x on the same Cartesian plane. What
do you observe?
2. Determine the point on the graph of the linear equation 2x + 5y = 19, whose ordinate is
117/
times its abscissa.
3. Draw the graph of the equation represented by a straight line which is parallel to the
x-axis and at a distance 3 units below it
4. Draw the graph of the linear equation whose solutions are represented by the points
having the sum of the coordinates as 10 units
5. Write the linear equation such that each point on its graph has an ordinate 3 times its
abscissa
6. If the point (3, 4) lies on the graph 3y = ax + 7, then find the value of a
7. How many solution(s) of the equation 2x + 1 = x - 3 are there on the
(1) Number line (ii) Cartesian plane
8. Find the solution of the linear equation x + 2y = 8 which represents a point on
(0) X-axis (ii) Y - axis
9. For what value of c, the linear equation 2x + cy = 8 has equal values of x and y for its
solution
10. Let y varies directly as x. If y = 12 when x = 4, then write a linear equation. What is the
value of y when x = 5
11. Show that the points A(1, 2), B(-1,-16) and C(0,7) lie on the graph of the linear equation
y = 9x - 7
12. Draw the graph of the linear equation 3x + 4y = 6. At what points, the graph cuts the
x-axis and the y-axis
13. The force exerted to pull a cart is directly proportional to the acceleration produced in
the body. Express the statement as a linear equation of two variables and draw the graph
of the same by taking the constant mass equal to 6 kg. Read from the graph, the force
required when the accele Pagen ploducd is. T) sa sett
(11) 6 m/sec​

Answer 1

Given : y = x and y = -x

To Find :  Draw the Graphs

Observation

Solution:

y = x

x        y

-2      -2

-1       -1

0        0

1         1

2        2

y = -x

x        y

-2       2

-1        1

0        -0

1         -1

2        -2

Observation  :

Both line passes through origin

Both lines are perpendicular to each other

Both line intersects at origin

Mirror image wrt  x axis

Please post Question one by one.

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