1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard IX
Mathematics
Graphical Representation of a Linear Equation in 2 Variables
Question 3Dra...
Question
Question 3
Draw the graph of the linear equation 3x + 4y = 6.
At what points,
the graph cuts x and y-axes?
Open in App
Solution
The given equation is 3x + 4y = 6.
To draw the graph of this equation, we need atleast two points lying on the graph of,
4
y
=
6
−
3
x
y
=
6
−
3
x
4
When x = 2, then
y
=
6
−
3
×
2
4
=
6
−
6
4
=
0
When x =0, then
y
=
6
−
3
×
0
4
=
6
4
=
3
2
x
2
0
y
0
3
2
Here, we find two points
A
(
0
,
3
2
)
and
B
(
2
,
0
)
Now, plot the points
A
(
0
,
3
2
)
and
B
(
2
,
0
)
and join them to get the line AB.
You can seethat the graph (line AB) cuts the x-axis at the point (2, 0) and the y-axis at the point
(
0
,
3
2
)
.
Suggest Corrections
1
Similar questions
Q.
Question 3
Draw the graph of the linear equation 3x + 4y = 6.
At what points,
the graph cuts x and y-axes?
Q.
Draw the graph of the linear equation 3x + 4y = 6. At what points, does the graph cut the x-axis and the y-axis?
Q.
Find the points where the graph of the equation 3x + 4y = 12 cuts the x-axis and the y-axis.
Q.
Draw the graph of the linear equation 4x+y=6 . At what points the graph of the equation cuts the x-axis and the y-axis ? Find area bounded by this line and coordinate axes.
Q.
Question 2
The following observed values of x and y are thought to satisfy a linear equation. Write the linear equation.
X
6
−
6
Y
−
2
6
Draw the graph using the values of x, y as given in the above table. At what points the graph of the linear equation.
(i) Cuts the x-axis?
(ii) Cuts the y-axis?
View More
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
Explore more
Graphical Representation of a Linear Equation in 2 Variables
Standard IX Mathematics
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
Solve
Textbooks
Question Papers
Install app