Question

How do you graph the line $y = - x$ ?

Answer 1

We know the general equation of a straight line is $y = mx + c$ where $m$ is the gradient and $y = c$ is the value where the line cuts the $y -$ axis. We know about the cartesian coordinates of points which is $(x,y)$ where $x$ is the abscissa and $y$ is the ordinate.

Complete step by step Solution:
Given that – line equation is $y = - x$
Now we will put values of $x = 0,1,2,3......$ in above equation one by one and get the value of $y$
Now we will put value $x = 0$in $y = - x$ , we get $y = 0$
Now we will put value $x = 1$ in $y = - x$ , we get $y = - 1$
Now we will put value $x = 2$ in $y = - x$ , we get $y = - 2$
Now we will put value $x = 3$ in $y = - x$ , we get $y = - 3$
Now we will put value $x = 4$ in $y = - x$ , we get $y = - 4$
We got enough points for representing a line of given linear equation $y = - x$ on the graph
Now we will put all point on the graph which we got by putting values of $x$ in equation $y = - x$ which are $(0,0),(1, - 1),(2, - 2),(3, - 3),(4, - 4)$

The above graph is the required graph for the given line $y = - x$

Note:
We know that general equation of line is $y = mx + c$ we can solve above given equation $y = - x$ also by comparing it with $y = mx + c$ then we will get $m = - 1$ then this means that the slope of given line is the below of $x - axis$ axis and right side of $y - axis$.