Graph the equation. Tell whether the equation is a function.
y = -x
To graph the equation y = -x, we can start by creating a table of coordinates and then plotting the points on a graph.
Let's assign some values to x and solve for y:
When x = -2, y = -(-2) = 2
When x = -1, y = -(-1) = 1
When x = 0, y = -(0) = 0
When x = 1, y = -(1) = -1
When x = 2, y = -(2) = -2
Now let's plot these points on a graph:
(-2, 2)
(-1, 1)
(0, 0)
(1, -1)
(2, -2)
After plotting the points, you will notice that they lie on a straight line that passes through the origin (0, 0) and has a negative slope. This line is a straight line that goes from the upper left quadrant to the lower right quadrant.
Since for every x-value there is a unique y-value, the equation y = -x is indeed a function.