Respuesta :

Explanation:

To find the equation, we first need to calculate the slope of the line. So, we can calculate the slope of the equation as follows:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Where (x1, y1) and (x2, y2) are two points in the line. So, replacing (x1, y1) by (5, -1) and (x2, y2) by (-5, 2), we get:

[tex]m=\frac{2-(-1)}{-5-5}=\frac{2+1}{-10}=\frac{3}{-10}=-\frac{3}{10}[/tex]

Now, the equation of the line can be found as:

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

Then, replacing the slope by -3/10 and (x1, y1) by (5, -1), we get:

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