How do you graph the equation by plotting points #y=2#?

Question

Eli Assouline · Accepted Answer

It is a horizontal line through #y=2#

The equation #y =2# is for a horizontal line which passes through the y-axis at #y = 2#

IN standard form it will be #y = 0x +2# indicating that the slope = 0.

If you plot points, you will find that no matter what value you choose for #x#, the y value will always be #2#.

This will produce a horizontal line of dots, with all the y-values equal to 2.

Jace Anderson · Answer

undefined To graph the equation y = 2 by plotting points:

1. Choose values for x. You can select any values you like, but it's common to use a range that includes both positive and negative numbers to get a sense of the graph's shape.
2. Substitute each chosen value of x into the equation to find the corresponding values of y.
3. Plot the points (x, y) on the coordinate plane.
4. Since y is always equal to 2, the graph will be a horizontal line passing through all points where y = 2.

For example, let's choose x = -3, -2, -1, 0, 1, 2, 3:

When x = -3, y = 2
When x = -2, y = 2
When x = -1, y = 2
When x = 0, y = 2
When x = 1, y = 2
When x = 2, y = 2
When x = 3, y = 2

Plot these points on the coordinate plane, and you'll see a horizontal line passing through y = 2 for all values of x.