show the points A(1,2) B(-1 ,-16) C(0,-7) lie on the graph of the linear equation y= 9x - 7
Answers
Answer:
Step-by-step explanation:
To show that the points lie on the graph of linear equation y=9x-7
We have to check for the given values
For 1st value/ordered pair ,
A(1,2) x = 1, y = 2
Substituting in the given eqn,
2=9(1)-7
=> 2=2
This ordered pair is satisfied
Second pair , B(-1,-16) x = -1,y=-16
=> -16 = 9(-1)-7
=> -16= -16
This pair also satisfies the eqn
Third pair , C(0,-7) x=0,y=-7
=> -7= 9(0)-7
=> -7 = -7
This one also satisfies the equation
So , all of the Values/pairs satisfies and are solutions of y=9x-7.
Hence they lie on the graph of linear equation y=9x-7
Before answering keep in mind,
*First number represented by the coordinate belongs to x axis (horizontal) and Second number represented by the coordinate belongs to y axis (vertical)
* A graph's equation y must be the subject.
*To show the points lie on the graph you can just substitute the values of x or y and see whether the other is coming as the answer.
*You have to follow BODMAS.
* While multiplying if both numbers have different signs, the answer will be negative; if they have same signs, answer will be positive.
Answer:
A = x coordinate is 1 and y coordinate is 2
y= 9x - 7
=9 x 1 - 7
=9 - 7
=2
Hence, when x=1, y=2.
So, this point lie on the graph of the linear equation.
B = x coordinate is -1 and y coordinate is -16
y= 9x - 7
=9 x -1 - 7
= -9 - 7
= -16
Hence, when x= -1, y= -16.
So, this point lie on the graph of the linear equation.
C = x coordinate is 0 and y coordinate is -7
y= 9x - 7
=9 x 0 - 7
=0 - 7
= -7
Hence, when x=0, y= -7.
So, this point lie on the graph of the linear equation.
As all the values satisfy the equation, it is shown that the points A(1,2) B(-1 ,-16) C(0,-7) lie on the graph of the linear equation.
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