How do you graph the equation y equals -x?

Answer 1

First, you look at the equation long enough to recognize that it's the equation

of a straight line with [ slope = 1 ] and [ y-intercept = 0 ].

Then you draw that line. It passes through the origin, and slopes up toward the

right at 45 degrees.

As another technique, you could use the equation to calculate two points on the line,

then mark the points on the graph, and draw a line between them.

To calculate two points, choose two values for 'x', and then calculate the value

of 'y' for each one.

Let's just pick two numbers out of the blue for 'x':

x = 2 and x = 9 .

Can you use the equation [ y = x ] to calculate the value of 'y' that goes with each one ?

That's right. Good work. When x=2, 'y' is also 2. And when x=9, 'y' is also 9.

So now you have two points on the graph ... (2, 2) and (9, 9).

Using a soft pencil, mark each of those two points on your graph with a small dot.

Then, using the same pencil along with a ruler, draw a line that connects the two

dots. You can extend the line as far as you want to, past either point, in either direction.

Answer 2

It's the line that goes diagonal from upper left to lower right, through the origin. Two points on the line are (-1,1) and (1,-1) using Cartesian coordinates.