Question

Graph the linear equation and answer each of the following questions. y>2/3 x-2 What is the y-intercept? What is the slope (in fraction form)? Is your slope positive or negative? Explain how you plotted your second point

Answer 1

(i)

y-intercept is -2

(ii)

slope is
`(2)/(3)`

(iii)

slope is positive

(iv)

another point is (3,0)

Explanation:

We are given equation as

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

now, we can compare it with slope intercept form of line

y=mx+b

where

m is slope

b is y-intercept

we get

`m=(2)/(3)`

`b=-2`

So,

(i)

y-intercept is -2

(ii)

slope is
`(2)/(3)`

(iii)

we can see that

`m=(2)/(3)`

is a fraction and positive

so, slope is positive

(iv)

we can select any random value of x and find y

that will give us second point

Let's assume

x=3

`y=(2)/(3)* 3-2`

`y=2-2`

`y=0`

So, another point is (3,0)

(v)

Graph: