The linear equation of the points is y = 2x + 3
How to determine the equation?
The points are given as:
(-2, -1), (-1, 1), (0,3), (1,5), (2,7), (3,9)
From the above points, we can see that:
As x increases by 1, the y value increases by 2
This means that the points form a linear equation, and the slope (m) is calculated using:
m = Δy/Δx
This gives
m = 2/1
m = 1
The y-intercept (c) is when x = 0.
From the points, we have:
(x,y) = (0,3)
This means that
c = 3
A linear equation is represented as;
y = mx + c
Substitute the known values
y = 2x + 3
Hence, the linear equation of the points is y = 2x + 3
See attachment for graphs
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