Question

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

Answer 1

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:

`y\text{ = mx + c}`

m = 56

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

`\begin{gathered} 2\text{ = 56}*6\text{ + c} \\ c\text{ = 2 - 336} \\ c\text{ = -334} \end{gathered}`

Hence, the equation of the line is:

y = 56x - 334