The linear equation is y = 4 + 0.5x
How to determine the equation?
The points are given as: (-2,3) and (4,6)
The equation is then calculated using:
[tex]y = \frac{y_2 -y_1}{x_2 -x_1} *(x - x_1) + y_1[/tex]
Substitute the known values
[tex]y = \frac{6-3}{4+2} *(x+2) + 3[/tex]
Evaluate
y = 0.5 *(x+2) + 3
Expand
y = 0.5x + 1 + 3
Evaluate the sum
y = 0.5x + 4
Rewrite as:
y = 4 + 0.5x
Hence, the equation is y = 4 + 0.5x
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