Answer:
[tex]y=\frac{1}{2}x+2[/tex]
Step-by-step explanation:
step 1
take two points on the graph
I take the intercepts
The y-intercept is the point (0,2)
The x-intercept is the point (-4,0)
step 2
Find the slope of the line
The formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
we have
(-4,0) and (0,2)
substitute the values
[tex]m=\frac{2-0}{0+4}[/tex]
[tex]m=\frac{2}{4}[/tex]
simplify
[tex]m=\frac{1}{2}[/tex]
step 3
Find the equation of the line in slope intercept form
[tex]y=mx+b[/tex]
where
m is the slope
b is the y-intercept
we have
[tex]m=\frac{1}{2}[/tex]
[tex]b=2[/tex]
substitute
[tex]y=\frac{1}{2}x+2[/tex]
