Respuesta :

Given:

The point : (6, 2)

The equation of line r: y = 56x + 1

The line S is parallel to the line r. Hence, they have the same slope(m).

The general equation of a line is:

[tex]y\text{ = mx + c}[/tex]

m = 56

Substituting the point (6,2) to find c:

[tex]\begin{gathered} 2\text{ = 56}\times6\text{ + c} \\ c\text{ = 2 - 336} \\ c\text{ = -334} \end{gathered}[/tex]

Hence, the equation of the line is:

y = 56x - 334