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



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

AThe graph is a straight line.

BThe line does not pass through the origin.

CThe line passes through the point

(0, –2)

DThe slope of the line is 1/2

EThe y-intercept of the line is 2

Verified Answer :

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

The equation of the graph: \(y = \frac{-1}{2}x+2\)

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) = \(\frac{-1}{2}\) 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, \(y = \frac{-1}{2}x+2\)

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 \(\frac{-1}{2}\).

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.


View image OrethaWilkison

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