Home
Class 9
MATHS
Draw the graph of the equation 3x-4y =12...

Draw the graph of the equation 3x-4y =12. comment on:
(i)x=0, y=3 is a solution of the equation.
(ii) The abscissa i.e. the value of x can never be 100 units.
(iii) Sum of intercept (parts made by straight line on the axes) on the axed is 7 units.
(iv) Length of line segment between the axes is 5 units
(v) Area of triangle formed by the line 3x-4y =12 and co ordinate axes.

Text Solution

AI Generated Solution

To solve the problem step by step, we will first draw the graph of the equation \(3x - 4y = 12\) and then address each of the comments provided. ### Step 1: Convert the equation to slope-intercept form The given equation is \(3x - 4y = 12\). To express it in slope-intercept form \(y = mx + b\), we can rearrange it: \[ -4y = -3x + 12 \] ...
Promotional Banner

Topper's Solved these Questions

  • LINEAR EQUATIONS IN TWO VARIABLES

    NAGEEN PRAKASHAN ENGLISH|Exercise Problems From NCERT/exemplar|7 Videos
  • LINEAR EQUATIONS IN TWO VARIABLES

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise|7 Videos
  • INTRODUCTION TO EUCLID'S GEOMETRY

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise|8 Videos
  • LINES AND ANGLES

    NAGEEN PRAKASHAN ENGLISH|Exercise Revision Exercise (long Answer Questions )|6 Videos

Similar Questions

Explore conceptually related problems

(i) Find the equation of a line, in which the mid- point of the line segment between the axes is (-3,2) . (ii) Find the area of triangle formed by the line 4x+3y=24 and the co-ordinate axes.

Draw the graph of the equation x/3+y/4=1 . Also, find the area of the triangle formed by the line and the coordinates axes.

Draw the graph of the straight line given by the equation 4x-3y+36=0 Calculate the area of the triangle formed by the line drawn and the co-ordinate axes.

Draw the graph of the straight line given by the equation 4x-3y+36=0 Calculate the area of the triangle formed by the lines drawn and the co-ordinate axes.

Draw the graph of the straight line given by the equation 4x-3y+36=0. Calculate the area of the triangle formed by the line drawn and the co-ordinate axes.

Draw the graph of equation 3x-4y=12 Use the graph drawn to find: (i) y_(1) , the value of y, when x=4 (ii) y_(2) the value of y, when x=0

Draw the graph of the equation 3x+2y-5=0 . Use this graph to find: (i) x_(1) the value of x, when y=7 (ii) y_(1) the value of y, when x=3

P (a, b) is the midpoint of a line segment between axes. Show that equation of the line is x/a+y/b=2.

If the graph of the equation y=5x+3 is shifted down 4 units, what is the x-intercept of the new line?

Draw the graph of the straight line given by equation 5x+6y=30 . Use this graph to find the area of the triangle by this line and the co-ordinate axes.