Question

How do you graph $y = 3.5x$

Answer 1

Hint: Given a linear equation and we have to plot a graph of the linear equation. To plot the graph of the equation, first, we will find the value of the variable $y$ for different values of the variable $x$. Then the set of these values can be plotted on the set of axes. Then we will join the points to obtain the graph of the linear equation.

Complete step-by-step answer:
We are given the linear equation $y = 3.5x$. Substitute $x = - 2$ into the linear equation to determine the value of $y$.
$y = 3.5\left( { - 2} \right)$
On simplifying the equation, we get:
$ \Rightarrow y = - 7$
Now we will substitute $x = - 1$ into the linear equation to determine the value of $y$.
$y = 3.5\left( { - 1} \right)$
On simplifying the equation, we get:
$ \Rightarrow y = - 3.5$
Now we will substitute $x = 0$ into the linear equation to determine the value of $y$.
$y = 3.5\left( 0 \right)$
On simplifying the equation, we get:
$ \Rightarrow y = 0$
Then we will substitute $x = 1$ into the linear equation to determine the value of $y$.
$y = 3.5\left( 1 \right)$
On simplifying the equation, we get:
$ \Rightarrow y = 3.5$
Now we will plot the points on the set of $x$-axis and $y$-axis. Then join these points to obtain the graph of the linear equation.

Final answer: Hence the graph of the linear equation is

Note:
In such types of questions students mainly make mistakes while plotting the points on the set of axes. In an ordered pair (x,y), the value of x is the distance of the point from y-axis whereas the value of y is plotted by taking the distance from the x-axis. In such types of questions, the graph of the linear equation is obtained by plotting these points and must be in a straight line.