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Stella graphs the equation y=1/3x – 2

Select ALL statements about Stella's graph that are true.

A The graph is a straight line.

B The line passes through the origin.

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

D The slope of the line is 3.

E The y-intercept of the line is 2.

User PmbAustin
by
8.0k points

2 Answers

2 votes

we have


y=(1)/(3)x-2

Statements

case A) The graph is a straight line.

The statement is True

Because, this is a linear equation (see the attached figure)

case B) The line passes through the origin.

The statement is False

Because the point
(0,0) is not a solution of the equation

Verify

Substitute the value of x and y in the equation


0=(1)/(3)*0-2


0=-2 ------> is not true

the point
(0,0) is not a solution

therefore

The line does not pass through the origin

case C) The line passes through the point
(0,-2)

The statement is True

Because the point
(0,-2) is a solution of the equation

Verify

Substitute the value of x and y in the equation


-2=(1)/(3)*0-2


-2=-2 ------> is true

the point
(0,-2) is a solution

therefore

The line passes through the point
(0,-2)

case D) The slope of the line is
3

The statement is False

Because, the slope of the line is
m=(1)/(3)

case E) The y-intercept of the line is
2

The statement is False

we know that

The y-intercept is the value of y when the value of x is equal to zero

so

For
x=0

find the value of y


y=(1)/(3)*0-2=-2

the y-intercept is equal to
-2


Stella graphs the equation y=1/3x – 2 Select ALL statements about Stella's graph that-example-1
User Pervez Alam
by
8.0k points
0 votes

Answer:

Option A and Option C are true.

Explanation:

Equation :
y = (1)/(3)x-2

General form of equation of straight line :
y =mx+c --1

where m is the slope of line

A)The graph is a straight line.

True . It is in the form of equation of straight line.

B)The line passes through the origin.

Origin = (0,0)

Plug x = 0 in equation

So,
y = (1)/(3)(0)-2


y = -2

So, False

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

Plug x = 0 in equation

So,
y = (1)/(3)(0)-2


y = -2

So, True

D)The slope of the line is 3.

On comparing with 1

Slope =
(1)/(3)

So, False.

E)The y-intercept of the line is 2.

To calculate the y intercept

Plug x = 0 in equation

So,
y = (1)/(3)(0)-2


y = -2

So, False

Hence Option A and Option C are true.

User Prathamesh More
by
8.4k points