Question

100 POINTS

Charlie graphs the equation y = -1/2x + 2


Select all statements about Charlie's graph that are true.

A. The graph is a straight line.

B. The line does not pass through the origin.

C. The line passes through the point
(0, –2)

D. The slope of the line is 1/2

E. The y-intercept of the line is 2

Answer 1

The equation of the graph:
`y = (-1)/(2)x+2`

The general equation of a line or a straight line is written as
`y=mx+b`; where m is the slope and b is the y-intercept.

In the given equation, we have slope (m) =
`(-1)/(2)` 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,
`y = (-1)/(2)x+2`

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
`(-1)/(2)`.

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.

Answer 2

The first thing you should do is go to youtube mathematics to get an understanding of the material.

The question is.
y = -12x + 2

Yes, the graph is a straight line. True, It is linear
The line doesn't pass thru the origin (0,0). True, it doesn't
The line passes thru the point (0,-2). false, It doesn't
They slope of the line is 2. True