English

The graph of the linear equation 2x + 3y = 6 cuts the y-axis at the point ______. - Mathematics

Advertisements
Advertisements

Question

The graph of the linear equation 2x + 3y = 6 cuts the y-axis at the point ______.

Options

  • (2, 0)

  • (0, 3)

  • (3, 0)

  • (0, 2)

MCQ
Fill in the Blanks

Solution

The graph of the linear equation 2x + 3y = 6 cuts the y-axis at the point (0, 2).

Explanation:

Since, the graph of linear equation 2x + 3y = 6 cuts the y-axis.

So, we put x = 0 in the given equation 2x + 3y = 6, we get

2 × 0 + 3y = 6

⇒ 3y = 6

y = 2

Hence, at the point (0, 2), the given linear equation cuts the y-axis.

shaalaa.com
  Is there an error in this question or solution?
Chapter 4: Linear Equation In Two Variables - Exercise 4.1 [Page 34]

APPEARS IN

NCERT Exemplar Mathematics [English] Class 9
Chapter 4 Linear Equation In Two Variables
Exercise 4.1 | Q 5. | Page 34

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

Draw the graph of the following linear equations in two variables: 

x – y = 2


From the choices given below, choose the equation whose graphs are given in the given figures.

For the first figure

(i) y = x

(ii) x y = 0

(iii) y = 2x

(iv) 2 + 3y = 7x

For the second figure

(i) y = x +2

(ii) y = x − 2

(iii) y = − x + 2

(iv) x + 2y = 6


Yamini and Fatima, two students of Class IX of a school, together contributed Rs. 100 towards the Prime Minister’s Relief Fund to help the earthquake victims. Write a linear equation which satisfies this data. (You may take their contributions as Rs. x and Rs. y.) Draw the graph of the same.


Using a scale of 1 cm to 1 unit for both the axes, draw the graphs of the following equations: 6y = 5x + 10, y = 5x - 15.
From the graph find :
(i) the coordinates of the point where the two lines intersect;
(ii) the area of the triangle between the lines and the x-axis.


The graph of y = 6 is a line ______.


The graph of the linear equation y = x passes through the point ______.


The graph given below represents the linear equation x + y = 0.


The graph given below represents the linear equation x = 3 (see figure).


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

  1. cuts the x-axis
  2. cuts the y-axis

Draw the graph of the linear equation 3x + 4y = 6. At what points, the graph cuts the x-axis and the y-axis.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×