Question

Equation of a line that passes through (2,-3) with the slope of 1/2

Answer 1

In point slope form:
y+3=1/2(x-2)

In slope intercept
y= 1/2x-4

Answer 2

The equation fo a line that passe sthrout the point (x1,y1) and having a slope of m is
y-y1=m(x-x1)
given

point i (2,-3) and slope is 1/2
y-(-3)=1/2(x-2)
y+3=1/2(x-2)
y+3=1/2x-1
y=1/2x+2

y=1/2x+2 or y+3=1/2(x-2) or x-2y=-2