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2 years ago

What is the slope intercept equation for (1, 2), (−2, −1)

Mathematics

1 answer:

N76 [4]2 years ago

7 0

Answer:The slope is 1

Step-by-step explanation:

y2-y1=-3

x2-x1=-3

put them into a fraction and the slope is 1 because -3/-3=1

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The coordinates of quadrilateral PQRS are P(–3, 0), Q(0, 4), R(4, 1), and S(1, –3). What best describes the quadrilateral?

denis-greek [22]

Answer:

Square

Step-by-step explanation:

Plot the vertices of the quadrilateral PQRS on the coordinate plane (see attached diagram). The diagram shows that this is a square. Let's prove it.

1. Find all sides lengths:

$PQ=\sqrt{(-3-0)^2+(0-4)^2}=\sqrt{(-3)^2+(-4)^2}=\sqrt{9+16}=\sqrt{25}=5\\ \\QR=\sqrt{(0-4)^2+(4-1)^2}=\sqrt{(-4)^2+(3)^2}=\sqrt{16+9}=\sqrt{25}=5\\ \\RS=\sqrt{(4-1)^2+(1-(-3))^2}=\sqrt{(3)^2+(4)^2}=\sqrt{9+16}=\sqrt{25}=5\\ \\SP=\sqrt{(1-(-3))^2+(-3-0)^2}=\sqrt{(4)^2+(-3)^2}=\sqrt{16+9}=\sqrt{25}=5$

All sides have the same lengths.

2. Find the slopes of all lines:

$PQ:\ \dfrac{4-0}{0-(-3)}=\dfrac{4}{3}\\ \\QR:\ \dfrac{1-4}{4-0}=-\dfrac{3}{4}\\ \\RS:\ \dfrac{-3-1}{1-4}=\dfrac{4}{3}\\ \\SP:\ \dfrac{0-(-3)}{-3-1}=-\dfrac{3}{4}$

Since the slopes of PQ and RS are the same, lines PQ and RS are parallel. Since the slopes of QR and SP are the same, lines QR and SP are parallel.

The slopes $\frac{4}{3}$ and $-\frac{3}{4}$ have the product of

$-\dfrac{3}{4}\cdot \dfrac{4}{3}=-1,$

then lines are pairwise perpendicular.

This means PQRS is a square.

4 0

4 years ago

Which fraction is represented on the number line?

Ierofanga [76]

Answer:

5/9

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

Given ab/bc = fe/ed find ac

zubka84 [21]

Well, you can cancel out the b and e, so a/c = f/d.

Then you cancel out a on the left side of the equation by multiplying both sides by 1/a which then gives you c = f/ad.

Hope this helps!

6 0

3 years ago

Please help !! i’m struggling

yaroslaw [1]

¿Aún necesitas ayuda? Podría intentar ayudar

3 0

3 years ago

Anyone else failing everything and feel like dyin

Alik [6]

Answer:

I failed math twice

Step-by-step explanation:

8 0

3 years ago