How do you graph the line $ y = - x - 7 $ ?
Answer
616.5k+ views
Hint: A graph of a function f is the set of ordered pairs; the equation of graph is generally represented as $ y = f\left( x \right) $ , where x and f(x) are real numbers. We substitute the value of x and we determine the value of y and then we mark the points in the graph and we join the points.
Complete step-by-step answer:
Here in this question, we have to plot the graph for the given function. A graph of a function is set of ordered pairs and it is represented as $ y = f\left( x \right) $ , where x and f(x) are real numbers. These pairs are in the form of cartesian form and the graph is the two-dimensional graph.
First, we have to find the value of y by using the graph equation $ y = - x - 7 $ . Let we substitute the value of x as $ 0 $ , $ 1 $ , $ 2 $ , and $ 3 $ .
Now we consider the value of x as $ 0 $ , the value of y is
\[ \Rightarrow y = - 0 - 7\]
$ \Rightarrow y = - 7 $
Now we consider the value of x as $ 1 $ , the value of y is
\[ \Rightarrow y = - 1 - 7\]
$ \Rightarrow y = - 8 $
Now we consider the value of x as $ 2 $ , the value of y is
\[ \Rightarrow y = - 2 - 7\]
$ \Rightarrow y = - 9 $
Now we consider the value of x as $ 3 $ , the value of y is
\[ \Rightarrow y = - 3 - 7\]
$ \Rightarrow y = - 10 $
Now we draw a table for these values we have
The graph plotted for these point is represented below:
Note: The graph is plotted x-axis versus y axis. The graph is two dimensional. By the equation of a graph, we can plot the graph by assuming the value of x. We can’t assume the value of y. because the value of y depends on the value of x. Hence, we have plotted the graph.
Complete step-by-step answer:
Here in this question, we have to plot the graph for the given function. A graph of a function is set of ordered pairs and it is represented as $ y = f\left( x \right) $ , where x and f(x) are real numbers. These pairs are in the form of cartesian form and the graph is the two-dimensional graph.
First, we have to find the value of y by using the graph equation $ y = - x - 7 $ . Let we substitute the value of x as $ 0 $ , $ 1 $ , $ 2 $ , and $ 3 $ .
Now we consider the value of x as $ 0 $ , the value of y is
\[ \Rightarrow y = - 0 - 7\]
$ \Rightarrow y = - 7 $
Now we consider the value of x as $ 1 $ , the value of y is
\[ \Rightarrow y = - 1 - 7\]
$ \Rightarrow y = - 8 $
Now we consider the value of x as $ 2 $ , the value of y is
\[ \Rightarrow y = - 2 - 7\]
$ \Rightarrow y = - 9 $
Now we consider the value of x as $ 3 $ , the value of y is
\[ \Rightarrow y = - 3 - 7\]
$ \Rightarrow y = - 10 $
Now we draw a table for these values we have
| x | $ 0 $ | $ 1 $ | $ 2 $ | $ 3 $ |
| y | $ - 7 $ | $ - 8 $ | $ - 9 $ | $ - 10 $ |
The graph plotted for these point is represented below:
Note: The graph is plotted x-axis versus y axis. The graph is two dimensional. By the equation of a graph, we can plot the graph by assuming the value of x. We can’t assume the value of y. because the value of y depends on the value of x. Hence, we have plotted the graph.
Recently Updated Pages
Find the greatest six digit number that is exactly class 8 maths CBSE

What is the time difference between India and Cana class 8 social science CBSE

Compare LPG and wood as fuels class 8 chemistry CBSE

In Indian rupees 1 trillion is equal to how many c class 8 maths CBSE

30 opposite words in English from a to z class 8 english CBSE

How many cubic feet equals to 1 unit sand class 8 maths CBSE

Trending doubts
What is BLO What is the full form of BLO class 8 social science CBSE

Citizens of India can vote at the age of A 18 years class 8 social science CBSE

Full form of STD, ISD and PCO

One cusec is equal to how many liters class 8 maths CBSE

What are the methods of reducing friction. Explain

What is the difference between rai and mustard see class 8 biology CBSE


