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Answer:
[tex]\left \{ {{y=-2x+2} \atop {y=-\frac{1}{4}x-5 }} \right.[/tex]
Step-by-step explanation:
1. the equation for the first line (its poits are (0;2) and (4;-6)):
y= -2x+2;
2. the equation for the seconde line (its points are (0;-5) and (4;-6)):
y= -1/4 x -5;
3. the required system of linear equations is:
[tex]\left \{ {{y=-2x+2} \atop {y=-\frac{1}{4}x-5 }} \right.[/tex]