Question 49112
Recall that parallel lines have the same slope.
The slope, m, of the given line {{{y = (5/2)x + 6}}} is: {{{m ] 5/2}}}, so, for the new line, you can write:

{{{y = (5/2)x + b}}} To find the value of b, the y-intercept, just substitute the x- and y-coordinates of the given point (2, 1) and solve for b.

{{{1 = (5/2)(2) + b}}} Simplify.
{{{1 = 5 + b}}} Subtract 5 from both sides of the equation.
{{{-4 = b}}} Now you can write the final equation of the new line:

{{{y = (5/2)x - 4}}}