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Answer:
a=-2, b=1.
Step-by-step explanation:
1) according to the condition it is required to find the equation of line, which passes through points A(-3;7) and B(4;-7);
2) the equation of this line can be made up using the formula:
[tex]\frac{x-X_A}{X_B-X_A} =\frac{y-Y_A}{Y_B-Y_A};[/tex]
[tex]\frac{x+3}{4+3} =\frac{y-7}{-7-7} ; \ < = > \ x+3=\frac{y-7}{-2}.[/tex]
3) if to re-write the last equation, then
y=-2x+1;
4) finally, a= -2; b=1.