The given equation in the point slope form is expressed as
y + 3 = 1/2(x + 4)
The standard form for a point slope equation is expressed as
y - y1 = m(x - x1)
Where
m represents slope
By comparing both equations,
slope, m = 1/2
y1 = - 3(we know that y - - 3 = y + 3)
x1 = - 4(We know that x - - 4 = x + 4)
The slope intercept form is expressed as
y = mx + c
Where
c represents the y intercept
We would determine c by substituting x = - 4, y = - 3 and m = 1/2 into the slope intercept equation. It becomes
- 3 = 1/2 * - 4 + c
- 3 = - 2 + c
c = - 3 + 2
c = - 1
Substituting c = - 1 and m = 1/2 into the slope intercept equation, it becomes
y = x/2 - 1
The equation in slope intercept form is
y = x/2 - 1