Respuesta :

parallel lines have the same slope

your given line is in point, slope form 

which is 

[tex]y - y-{1} = m(x - x_{1})[/tex]

so  you have 

[tex]m = \frac{1}{2} ~~~~y_{1} = 5~~~~~x_{1} = 1[/tex]

just substitute
paraalell lines have same slope

the equation of a line that passes throug the point (x1,y1) and has a slope of m is
y-y1=m(x-x1)
given
y+3=1/2(x-2)
slope is 1/2 and the point is errelivant

we want to find one that passes through (1,5) and has slope of 1/2

(x1,y1)
(1,5)

y-5=1/2(x-1)
if want standdard or slope intercept
y-5=1/2x-1/2
y=1/2x+9/2

standard
x-2y=-9