Answer:
[tex]y=-3x+1(\text{Third option})[/tex]
Step-by-step explanation:
[tex]\text{Solution:}\\\\\text{Let's take any two ordered pairs: }(-2,7)\text{ and }(-1,4).\text{ Now, we will consider}\\\text{these pairs as passing points of a line. Thus, the equation of the line will }\\\text{represent the relationship between }x\text{ and }y.[/tex]
[tex]\text{Let }(x_1,y_1)=(-2,7)\text{ and }(x_2,y_2)=(-1,4).[/tex]
[tex]\text{Using two point form,}\\\\y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\\text{or, }y-7=\dfrac{4-7}{-1-(-2)}(x+2)\\\\\text{or, }y-7=\dfrac{-3}{1}(x+2)\\\\\text{or, }y-7=-3(x+2)\\\text{or, }y-7=-3x-6\\\text{or, }y=-3x+1[/tex]
[tex]\text{This equation shows the required relationship between }x\text{ and }y.[/tex]
Hope this helps!
