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For this case we have that the equation of a line in the slope form intersection is given by:
Where:
m: It's the slope
b: It is the cut point with the y axis.
In the green graph we observe that, then its equation is
We have the slope of the red line substituting two points:
Thus, the red line has equation
Finally, the blue line is
Answer:
Green line, y = 5x + 2
Red line, y = 2x + 3
Blue line, y = 3x + 3