Answer:
[tex]y=-\frac{1}{2}x+2[/tex]
Step-by-step explanation:
To find the equation of the line, pick two points from the graph and frame the equation y=mx+b, m is the slope and b is the y intercept.
Two points are (4,0) and (0,2)
slope m =[tex]\frac{y_2-y_1}{x_2-x_1} =\frac{2-0}{0-4} =\frac{2}{-4} =-\frac{1}{2}[/tex]
The equation of the line becomes
[tex]y=-\frac{1}{2}x+b[/tex]
y intercept is the point where the graph crosses y axis
y intercept is at 2 so b=2
Equation of the line is
[tex]y=-\frac{1}{2}x+2[/tex]
