Answer: y = x/2 + 3
Explanation:
The given equation is in represented in the point slope form which is expressed as
y - y1 = m(x - x1)
Where
m represents the slope
From the given equation,
slope, m = 1/2
y = 2
x = - 2
The equation of a straight line can be represented in the slope-intercept form, y = mx + c
Where c = intercept
Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis.
To determine the intercept, we would substitute x = - 2, y = 2 and m= 1/2 into y = mx + c. It becomes
2 = 1/2 × - 2 + c
2 = - 1 + c
c = 2 + 1 = 3
The equation becomes
y = x/2 + 3