Write the slope-intercept form (y=mx+b) of the equation of the line.

y = x/2 + 3

Step-by-step 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