All categories

3 years ago

Point slope form. (-5,-1) and (6,-5)

Mathematics

1 answer:

TEA [102]3 years ago

6 0

Step-by-step explanation:

The point-slope form of an equation of a line:

$y-y_1=m(x-x_1)$

m - slope

(x₁, y₁) - point on a line

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have two points (-5, -1) and (6, -5). Substitute:

$m=\dfrac{-5-(-1)}{6-(-5)}=\dfrac{-5+1}{6+5}=-\dfrac{4}{11}$

Put the value of a slope and coordinates of a point to the equation of a line:

$(-5,\ -1),\ m=-\dfrac{4}{11}\\\\y-(-1)=-\dfrac{4}{11}(x-(-5))\\\\y+1=-\dfrac{4}{11}(x+5)$

$(6,\ -5),\ m=-\dfrac{4}{11}\\\\y-(-5)=-\dfrac{4}{11}(x-6)\\\\y+5=-\dfrac{4}{11}(x-6)$

You might be interested in

George had one sheet of paper. He cut it into 6" x 5", and 3" x 6". What were the dimensions and total area of his original shee

Deffense [45]

Answer: $l={8}'' ,b={6}''$ , $l={6}'' ,b={8}''$

and area is $=48$ inch square

Step-by-step explanation:

area of sheet $=l\times b$

area of sheet first $={6}''\times {5}''$

$=30$ inch square

area of sheet second $={3}''\times {6}''$

$=18$ inch square

total area of both sheet $=30+18$

$=48$ inch square

area of sheet $=l\times b$

$=48$ inch square

$l={6}'' ,b={8}''$

$l={8}'' ,b={6}''$

perimeter of sheet

$=2\left ( l+b \right )$

$=2(6+8)$

$={28}''$

3 0

3 years ago

Read 2 more answers

An airplane is loaded with cargo and ready to take off. Before it departs, an unknown number

Leto [7]

Answer:

b ≤ 50

Step-by-step explanation:

Since no more than 400 pounds of b number of 8 pound boxes can be taken off to ensure that the plane is in balance, this can be represented by the inequality:

8b ≤ 400

b ≤ 400/8

b ≤ 50

This means that a maximum number of 50 8 pounds boxes can be taken off the plane for a 600 pound crate to be put on ensuring that the plane is in balance.

8 0

2 years ago

True or False. The Electromagnetic Spectrum can be described in terms of wave energy, frequency, and wavelength.

NeTakaya

True, because energy, frequency, and wavelength are all properties of sound, and sound is an electromagnetic wave. The electromagnetic spectrum encompasses a continuous range of frequencies or wavelengths of electromagnetic radiation, ranging from long wavelength, low energy radio waves to short wavelength, high frequency, high energy gamma rays.

5 0

2 years ago

Find the area on the shaded region

mars1129 [50]

Answer:

83.2 cm^2

Step-by-step explanation:

To solve this we're going to find the area of the bigger triangle (the shaded and unshaded parts together) and then the area of the smaller triangle (the unshaded part) and then subtract that from the area of the bigger triangle. We're going to use the equation: Area=1/2 x base x height. So the base of the big triangle is 16, and the height is (10.4+8.6 = 19). Put into the equation this looks like this: Area=1/2 x 16 x 19, so by multiplying we find that the area is 152 cm^2. Next we find the small triangle's area, Area=1/2 x 16 x 8.6, so the area is 68.8. Then to find the area of the shaded part, we subtract the unshaded area (68.8) from the whole area (152), 152-68.8=83.2.

4 0

2 years ago

What is 1080 miles on 15 gallons

yaroslaw [1]

Answer:

72 miles per gallons

Step-by-step explanation:

also can i have brainliest

7 0

2 years ago