Question 281612
{{{4y - 5 = 2x}}}

we need to find the slope from the above equation, in order to do that, we want to put it in:

{{{y = mx + b}}} form
{{{4y - 5 = 2x}}} add 5 to both sides
{{{4y = 2x + 5}}} divide 4 on both sides
{{{y = 1/2*x + 5/4}}} 

the coefficient of x is {{{1/2}}}, so our slope is {{{1/2}}}

From there, we can use this formula to find the equation of the line parallel to the point (-3,-2)

{{{Y - y = m(X - x)}}} where lowercase y and x is from the point and m is slope.
{{{Y - (-2) = 1/2 (X - (-3))}}} distribute the  1/2
{{{Y + 2 = 1/2 * X + 3/2}}} subtract 2 on both sides
{{{highlight(Y = 1/2 * X - 1/2)}}} final answer