A line in the coordinate plane passes through the point and is parallel to the line with equation .

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