Mathematics, 28.01.2020 17:48 naomicervero

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.

Answers: 2

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Answer from: battlemarshmell

we have

$y=\frac{1}{3}x-2$

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

$0=\frac{1}{3}*0-2$

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

$-2=\frac{1}{3}*0-2$

-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

The statement is False

Because, the slope of the line is $m=\frac{1}{3}$

case E) The y-intercept of the line is

The statement is False

we know that

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

For x=0

find the value of y

$y=\frac{1}{3}*0-2=-2$

the y-intercept is equal to

Stella graphs the equation y=1/3x – 2 select all statements about stella's graph that are true. a th

Answer from: chanahvanya

Option A and Option C are true.

Step-by-step explanation:

Equation : $y = \frac{1}{3}x-2$

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, $y = \frac{1}{3}(0)-2$

y = -2

So, False

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

Plug x = 0 in equation

So, $y = \frac{1}{3}(0)-2$

y = -2

So, True

D)The slope of the line is 3.

On comparing with 1

Slope = $\frac{1}{3}$

So, False.

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

To calculate the y intercept

Plug x = 0 in equation

So, $y = \frac{1}{3}(0)-2$

y = -2

So, False

Hence Option A and Option C are true.

Answer from: Quest

asdasdsad

step-by-step explanation:

Answer from: Quest

step-by-step explanation:

graph using a few selected

x y

-1 15

0 6

1 2.4

2 0.96

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Stella graphs the equation y=1/3x – 2
select all statements about stella's graph that are true...

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