Question

How do you graph the line \[y = - 2x\]?

Answer 1

Hint:
In the given question, we have been asked to graph the line \[y = - 2x\]. Now, this line is going to be a straight line which passes through the origin. To solve this, we take a few points for solving the given expression. Then we plot those points on the graph. Then we just join the points and we get the answer.

Complete step by step solution:
The given equation of the line is \[y = - 2x\]. To solve this equation, we take a few points so as to solve for the given values. So, we have:
If we put \[x = 0\], we get
\[y = - 2 \times 0 = 0\]
Hence, one point on the graph is going to be \[\left( {0,0} \right)\].
Now, when we put \[x = - 2\], we get
\[y = 4\]
Hence, a point on the graph is going to be \[\left( { - 2,4} \right)\].
And finally, on putting \[x = 2\], we get
\[y = - 4\]
Hence, a point on the graph is going to be \[\left( {2, - 4} \right)\].
Now, we plot these points on the graph, and we get:

Note:
For solving questions of such type, we first write what has been given to us. Then we write down what we have to find. Then we write the formula which connects the two things. In this question, we only need to know one thing – how to get the points for the graph and then, how to plot the points on the graph. Then we just calculate the values from the equation, plot them on the graph, join the points on the graph and we get the line which marks the required equation.