The equation of the graph: [tex]y = \frac{-1}{2}x+2[/tex]
The general equation of a line or a straight line is written as [tex]y=mx+b[/tex]; where m is the slope and b is the y-intercept.
In the given equation, we have slope (m) = [tex]\frac{-1}{2}[/tex] and y -intercept (c) = 2.
A. True, the graph is a straight line because
an equation [1] is in the form of straight line i.e, [tex]y = \frac{-1}{2}x+2[/tex]
B. True.
Because the line does not pass through the (0,0)
C. False, the line doesn't passes through the point (0,-2) because as it passes through the point (0,2)
D. False
As you can see above the slope of the line is [tex]\frac{-1}{2}[/tex].
E. True
The y-intercept of the line is 2.
Also, you can see the equation of line in the graph as shown below in the attachment.
