Slope of a line passing though point (x1,y1) nd (x2,y2) is
(y2-y1)/(x2-x1)

we have
(1,-3) and (3,-5)
x1=1
y1=-3
x2=3
y2=-5

slope=(-5-(-3))/(3-1)=(-5+3)/(2)=-2/2=-1

slope=-1

4 0

3 years ago

Read 2 more answers

The probability of drawing a purple from a bag is 3/8. What is the probability of the complement?

In-s [12.5K]

Answer: 5/8

Step-by-step explanation:

3/8 + 5/8

Thanks for the free points

7 0

3 years ago

The sides of the rectangle are in the ratio of 4:7. If its length is 31.5 in., find the width, the perimeter, and the area of th

AveGali [126]

Let $\ell$ the length and $w$ the width. By the ratio of the sides:

$\dfrac{w}{\ell}=\dfrac{4}{7}\Longrightarrow \dfrac{w}{31.5}=\dfrac{4}{7}\Longrightarrow w=\dfrac{4\cdot31.5}{7}\Longrightarrow \boxed{w=18~in.}$

Now, we'll find the perimeter p. We'll use the formula below:

$p=2(\ell+w)\\\\
p=2(31.5+18)\\\\
p=2\cdot49.5\\\\
\boxed{p=99~in.}$

The area of a rectangle is $S=w\cdot\ell$ . Then:

$S=w\cdot\ell\\\\
S=18\cdot31.5\\\\
\boxed{S=567~in.^2}$

8 0

3 years ago

Read 2 more answers