x: 0, 1, 2, 3

y: 3, 2, 1, 0

I don't know what the pattern is in this x and y line graph.

Please help me.

y is x but backwards?

its a coordinate graph/line graph. Okay, so the x axis is the horizontal line and the y axis is the vertical line. I don't know if it's that pattern, but the pattern is like this. y = ?

x+y = 3

rearrange that into whatever form you prefer.

To determine the pattern in this line graph, let's first analyze the relationship between the x-values and corresponding y-values.

Given:
x: 0, 1, 2, 3
y: 3, 2, 1, 0

By observing the values, we can see that as the x-values increase by 1, the y-values decrease by 1.

This suggests that the pattern is a linear relationship with a negative slope. Each time x increases by 1, y decreases by 1.

To confirm if this is the case, let's calculate the equation of the line connecting these points using the slope-intercept form (y = mx + b) where m is the slope and b is the y-intercept.

Using the first and last points of the graph:
x1 = 0, y1 = 3
x2 = 3, y2 = 0

Calculating the slope (m):
m = (y2 - y1) / (x2 - x1)
m = (0 - 3) / (3 - 0)
m = -3/3
m = -1

Now, we can substitute one of the points (x1, y1) into the equation to solve for the y-intercept (b):
3 = (-1)(0) + b
b = 3

Therefore, the equation of the line is:
y = -x + 3

So, the pattern in this line graph is a linear relationship where y decreases by 1 as x increases by 1, and the equation of the line is y = -x + 3.