ANSWER
y = 1/2 x + 2
EXPLANATION
The slope-intercept form of the equaiton of a line is:
[tex]y=mx+b[/tex]
Where m is the slope and b is the y-intercept.
The y-intercept is the y-value where the graph intersects the y-axis. For this line, the y-intercept is 2.
The slope of a line that passes through points (x1, y1) and (x2, y2) is:
[tex]m=\frac{y_1-y_2}{x_1-x_2}[/tex]
In this graph we can take any pair of points to find the slope. Using points (0, 2) and (-4, 0):
[tex]m=\frac{2-0}{0-(-4)}=\frac{2}{4}=\frac{1}{2}[/tex]
Therefore, the equation is:
[tex]y=\frac{1}{2}x+2[/tex]
