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

Answer:

(i)

y-intercept is -2

(ii)

slope is $\frac{2}{3}$

(iii)

slope is positive

(iv)

another point is (3,0)

Step-by-step explanation:

We are given equation as

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

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

y=mx+b

where

m is slope

b is y-intercept

we get

$m=\frac{2}{3}$

$b=-2$

So,

(i)

y-intercept is -2

(ii)

slope is $\frac{2}{3}$

(iii)

we can see that

$m=\frac{2}{3}$

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

$y=\frac{2}{3}\times 3-2$

$y=2-2$

$y=0$

So, another point is (3,0)

(v)

Graph: