Answer:
y - 1 =
(x - 5)
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercpt )
given
2x - 3y = 7 ( subtract 2x from both sides )
- 3y = - 2x + 7 ( divide through by - 3 )
y =
x -
← in slope- intercept form
with slope m = 
• Parallel lines have equal slopes
then the equation of a parallel line in point- slope form
with m =
and (x₁, y₁ ) = (5, 1)
y - 1 =
(x - 5)