The equation of the line is y = 2/3(x + 4) + 2
How to determine the line equation?
The line is parallel to (3,9) and (6,11)
So, we start by calculating the slope of the above points using:
m = (y2 - y1)/(x2 - x1)
This gives
m = (11 - 9)/(6 - 3)
Evaluate
m =2/3
Since the lines are parallel, then they have the same slope
The equation of the line is calculated using:
y = m(x - x1) + y1
Where:
(x1. y1) = (-4,2)
So, we have:
y = 2/3(x + 4) + 2
Hence, the equation of the line is y = 2/3(x + 4) + 2
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