Suppose that A and B are inhabitants of the island of knights and knaves. Suppose that A says "1 am a knave or B is a knight" and B does not say anything. What can you say about A and B?

Solved

Show answers

Ответ:

ineedtopeebeforethec

17.02.2021

Mathematics

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

Step-by-step explanation:

Slope-intercept form:

The equation of line is given by:

y = mx+b .....[1]

where

m is the slope of the line and

b is the y-intercept

Formula for slope:

$\text{Slope} = \frac{y_2-y_1}{x_2-x_1}$

For the graph we have;

Coordinates of the line are:

(3, 1) and (0, -1)

By slope formula we have;

$\text{Slope(m)} = \frac{-1-1}{0-3} = \frac{-2}{-3}=\frac{2}{3}$

It is also given that the x-intercept of line is, -3

⇒x-intercept = (-3, 0)

Substitute the given value in [1] we have;

$y = \frac{2}{3}x+b$

Substitute the point (-3, 0) we have;

$0= \frac{2}{3}(-3)+b$

⇒ 0 = -2+b

Add 2 to both sides we have;

b = 2

Then, our equation become:

$y = \frac{2}{3}x+2$ with positive slope 2/3 and y-intercept is 2

Therefore, the equation of the line that is parallel to the given line and has an x-intercept of –3 is:

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

0,0(0 оценок)

Ask your question to the AI advisor

Ai-bot is an expert in any field and is the perfect companion for reliable and useful answers and advice on a variety of topics, including science, history, technology, art, sports, health, culture and more.

Ask your question

More tips

Answers on questions: Mathematics

Ask an AI advisor a question

I want advice