Answer :

We will find first the slope(m) using two pairs of points that belong to the line, that is:

[tex]m=\frac{-7-(-3)}{2-1}\Rightarrow m=-4[/tex]

Now, using a point of the line and the slope, we replace in the following expression:

[tex]y-y_1=m(x-x_1)[/tex]

We can use any point from the line, in our case I will use the point (1, -3), that is:

[tex]y-(-3)=-4(x-1)[/tex]

Now, we proceed to solve for y:

[tex]\Rightarrow y+3=-4x+4\Rightarrow y=-4x+1[/tex]

So, the equation of the linear function is:

[tex]y=-4x+1[/tex]

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