Home
Class 9
MATHS
Show that the points A (1,2), B(-1, -16)...

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.

Text Solution

AI Generated Solution

To show that the points A(1, 2), B(-1, -16), and C(0, -7) lie on the graph of the linear equation \( y = 9x - 7 \), we will substitute the x-coordinates of each point into the equation and check if the resulting y-value matches the y-coordinate of the respective point. ### Step-by-Step Solution: 1. **Check Point A (1, 2)**: - Substitute \( x = 1 \) into the equation \( y = 9x - 7 \): \[ y = 9(1) - 7 = 9 - 7 = 2 ...
Promotional Banner

Topper's Solved these Questions

  • LINEAR EQUATION IN TWO VARIABLES

    NCERT EXEMPLAR ENGLISH|Exercise Exercise 4.5|1 Videos
  • LINEAR EQUATION IN TWO VARIABLES

    NCERT EXEMPLAR ENGLISH|Exercise Exercise 4.6|1 Videos
  • LINEAR EQUATION IN TWO VARIABLES

    NCERT EXEMPLAR ENGLISH|Exercise Exercise 4.3|11 Videos
  • INTRODUCTION TO EUCLID GEOMETRY

    NCERT EXEMPLAR ENGLISH|Exercise Exercise 5.4 Long Answer Type Questions|5 Videos
  • LINES AND ANGLES

    NCERT EXEMPLAR ENGLISH|Exercise MULTIPLE CHOICE QUESTIONS|34 Videos

Similar Questions

Explore conceptually related problems

The point (0,3) lies on the graph of the linear equation 3x+4y=12.

Show that the points A (-2,3,5), B (1,2,3) and C (7,0,-1) are collinear.

Show that the points A(1, 0), B(2, -7), C(8, 1) and D(9,-6) all lie on the same circle. Find the equation of this circle, its centre and radius.

Show that the points ( 1,0),(2,-7) , (8,1) and (9,-6) are concyclic.

Show that the points (9, -2), (-5, 12) and (-7, 10) lie on that circle whose centre is the point (1, 4)

Find the value of k for which the point (1,\ -2) lies on the graph of the linear equation x-2y+k=0

If the point (a ,\ 2) lines on the graph of the linear equation 2x-3y+3=0 , find the value of a

Show that the points A (1, 0), B(5, 3), C (2, 7) and D(-2, 4) are the vertices of a rhombus.

Show that the points A(0,4,3) , B(-1,-5,-3), C(-2,-2,1) and D(1,1,1) are coplanar. Also find the equation of the plane in which these points lie.

Plot the points A(0,2), B(1,4) and C(-1,0) on a graph paper and check whether they are collinear (lie on the same straight line) or not.