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Draw the graph of the linear equation whose solutions are represented by the points having the sum of the coordinates as 10 units.

Answer:

According to the question,

We get the linear equation,

x + y = 10

We get,

x = 10 – y

Values of x and y satisfying the equation=

Plotting the graph:

"hello everyone i am sumanjali math tutor
from leader learning welcome to question
and answer session
given question is draw the graph of the
linear equation
whose solutions are represented by the
points
having the sum of the coordinates as 10
units
okay so first of all we can write
coordinate as
x comma y the coordinate always having
this form only
okay so according to the problem some of
the coordinates
is equals to 10 units therefore x
plus y x plus y these are the sum of the
coordinates is equals to
10 units okay so if x value is known how
we can
how we can calculate y value so y value
is equals to
y is equals to 10 minus x
okay so for different values of x now i
am writing the values of
y okay for different values of x
so this is x value this is y is equals
to
10 minus x okay so if x is equals to 0
10 minus if x is equals to 0 10 minus a
0 the y value is 10
if x is equals to 1 y value is
9 10 minus 1 if x is equals to 2
y value is 8 if x is equals to 3
y value is equals to 7 and if
x is equals to minus 1 if x is equals to
minus 1
then the value of then the value of y is
10 minus of minus 1 okay
which is is equals to 11 okay if x is
equals to minus 2 the value
is 10 minus of minus 2 so that the value
is 12
if x is equals to minus 3 the value will
be
13 okay now i'm plotting the points
so at x is equals to 0 so this is x
axis i plotted positive and negative
values of x
and this is the y axis okay i took a
scale so on x
axis scale is
on x axis
one unit equals to one and on y
axis one unit equals to
two units okay so this is how i took
scale on x
axis and y axis coming to the first
point if x
is equals to 0 the value of y the value
of y is equals to 10
okay that is here this is our first
point okay
so if x is equals to 1 the value of
y is 9 okay so between 10 and
between 10 and 8 the value is 9 here
okay so this is
9 and if x is equals to 2 the value is
8 okay so this is 8 if x is equals to 3
the value is
7 okay this is 7
this is 7 and this is 8 and if x is
equals to minus 1
the value is 11 that is here preferably
this is 11 and if x is equals to minus 2
the value is 12
if x is equals to minus 3 the value is
13 okay that is here this is 13
this is 12 okay so now we can join
all the points we can join all the
points by using a straight line like
this
okay so this is the line this is the
graph which represents
x plus y equals to 10 okay
x plus y is equals to 10 and also
all the points are collinear points all
points points
satisfying
x plus y equals to 10 are
collinear points that means all will lie
on a same line
all points are collinear okay that's all
hope you understand if you have further
questions
reach us at comment section and
subscribe to the channel leader learning
for further queries
thank you"

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