All categories

2 years ago

What is the equation of the line that passes through the point (-5,-2) and has a slope of 3/5?

Mathematics

1 answer:

SOVA2 [1]2 years ago

4 0

Answer:

y = 3/5x + 1

Step-by-step explanation:

Formula:

y - y1 = m(x - x1)

Plug in:

y - (-2) = 3/5(x - (-5))

Two negatives make a positive:

y + 2 = 3/5(x +5)

Distribute 3/5 to (x + 5):

y + 2 = 3/5x + 3

Get y by itself by - 2:

y = 3/5x + 1

Hope this helps you :)

You might be interested in

Six more than the product of seven and a number is 55.

mariarad [96]

Answer:

7x + 6 = 55; x=7

Step-by-step explanation:

"six more than" -> +6

"product of seven and a number" -> 7x

7x + 6 = 55

7x = 55 - 6

7x = 49

x=7

8 0

3 years ago

Read 2 more answers

Write (26 + 16i) − (26 − 7i) as a complex number in standard form.

ValentinkaMS [17]

The answer would be 23i.

Simplify ( 26 + 16i - 26 + 7i )

Gather like terms ( 26 - 26 ) + (16i + 7i)

Simplify (23i)

5 0

3 years ago

Read 2 more answers

A rectangle has a length of 20 inches. if its perimeter is 64 inches, what is the area?

zzz [600]

Answer:

$\boxed{ \bold{ \huge{ \boxed{ \sf 240 \: {inches}^{2} }}}}$

Step-by-step explanation:

Given,

Length of a rectangle = 20 inches

Perimeter of a rectangle = 64 inches

Area of a rectangle = ?

Let width of a rectangle be ' w ' .

First, finding the width of a rectangle

$\boxed{ \sf{perimeter = 2(l + w)}}$

plug the values

⇒ $\sf{64 = 2(20 + w)}$

Distribute 2 through the parentheses

⇒ $\sf{64 = 40 + 2w}$

Swap the sides of the equation

⇒ $\sf{40 + 2w = 64}$

Move 2w to right hand side and change it's sign

⇒ $\sf{2w = 64 - 40}$

Subtract 40 from 64

⇒ $\sf{2w = 24}$

Divide both sides of the equation by 2

⇒ $\sf{ \frac{2w}{2} = \frac{24}{2} }$

Calculate

⇒ $\sf{w = 12 \: inches}$

Width of a rectangle ( w ) = 12 inches

Now, finding the area of a rectangle having length of 20 inches and width of 12 inches

$\boxed{ \sf{area \: of \: rectangle = length \: \times \: \: width}}$

plug the values

⇒ $\sf{area \: of \: rectangle =20 \times 12 }$

Multiply the numbers : 20 and 12

⇒ $\sf{area \: of \: rectangle = 240 \: {inches}^{2} }$

Hence, Area of a rectangle = 240 inches²

Hope I helped !

Best regards!

7 0

3 years ago

6 times 1,356 using expanded form

grin007 [14]

8,000+100+30+6
first you do 6*1356 which is 8136 then just write the numbers as the place value

7 0

3 years ago

Jason has a coupon for $2.50 off any electronic book for an online book store. If the original price, in dollars, of an electron

Scilla [17]

Unfortunately, we are not presented in this item with the table in which we could have chosen from our answer to this question. However, it can be concluded that the table which contains the values of
d = p - 2.5

4 0

3 years ago