All categories

3 years ago

Which is the equation of a line that passes through the points (1,4) and (-1,1)

Mathematics

1 answer:

horsena [70]3 years ago

3 0

Answer:

The equation of the line is y = 3/2x + 5/2

Step-by-step explanation:

To find the equation of this line, start by using the two points with the slope formula to find the slope.

m(slope) = (y2 - y1)/(x2 - x1)

m = (4 - 1)/(1 - -1)

m = 3/(1 + 1)

m = 3/2

Now that we have the slope, we can use that and either point in point-slope form to find the equation.

y - y1 = m(x - x1)

y - 4 = 3/2(x - 1)

y - 4 = 3/2x - 3/2

y = 3/2x + 5/2

You might be interested in

Jacob and Zachary go to the movie theater and purchase refreshments for their friends. Jacob spends a total of $18.25 on two bag

damaskus [11]

Answer:

The cost of 1 popcorn is $5.75

The cost of 1 drink is $2.25

Step-by-step explanation:

Hi there!

First, let´s write the system of equations:

2p + 3d = 18.25

4p + 2d = 27.50

Now, let´s take the first equation (for example, it can be any equation) and solve it for "p":

2p + 3d = 18.25

Subtract 3d to both sides of the equation:

2p = 18.25 - 3d

divide both sides of the equation by 2:

p = (18.25 - 3d)/2

Now let´s replace p = (18.25 - 3d)/2 in the second equation and solve it for d:

4p + 2d = 27.50

4(18.25 - 3d)/2 + 2d = 27.50

2(18.25 - 3d) + 2d = 27.50

Apply distributive property:

36.5 - 6d + 2d = 27.50

subtract 36.5 to both sides of the equation:

-4d = 27.50 - 36.50

-4d = -9

divide both sides of the equation by -4:

d = -9/-4 = 2.25

The cost of 1 drink is $2.25

To calculate the price of popcorn, let´s use the equation we obtained above isolating "p":

p = (18.25 - 3d)/2

p = (18.25 - 3(2.25))/2

p = 5.75

The cost of 1 popcorn is $5.75

4 0

3 years ago

What would the distance be of a crater of 4300 feet in diameter use 3.14 pi\

oksano4ka [1.4K]

Answer : 13502 ft
Circumference of crater 2 pi r
Diameter = 4300
Radius = (4300/2)
Distance = 2 × 3.14 × (4300/2)
= 13502 ft

Hope it helped!

4 0

4 years ago

A rectangular painting by Leonardo da Vinci measured 62cm along its diagonal. If the painting has a height of 42 cm how wide is

IRINA_888 [86]

ANSWER

45.6cm to the nearest tenth.

EXPLANATION

The diagonal of the rectangular painting is 62cm.

The height of the painting is 42 cm.

The height of the painting h , the diagonal, and the width of the painting forms a right triangle with the diagonal being the hypotenuse.

From the Pythagoras Theorem,

${w}^{2} + {42}^{2} = {62}^{2}$

${w}^{2} = {62}^{2} - {42}^{2}$

${w}^{2} = 2080$

${w} = \sqrt{2080}$

$w = 4 \sqrt{130}$

The width of the painting is 45.6cm to the nearest tenth.

4 0

3 years ago

Ron is slicing 5 pizzas each pizza slice is 1/8 of the pizza. How many pizza slices will be there in all

Goryan [66]

Answer:

there would be 40 slices of pizza

Step-by-step explanation:

If 5 pizzas each have 8 slices you multiply 5 X 8 which equals 40 slices

3 0

4 years ago

Read 2 more answers

What is the midpoint of the segment shown below (-8,-7) (-7,-8)

svetlana [45]

Given two points (x₁,y₁) and (x₂,y₂) the midpoint would be:
M=((x₁+x₂)/2 , (y₁+y₂)/2)

In this case, the points would be: (-8,-7) and (-7,-8); therefore:
M=((-8-7)/2 , (-7-8)/2)=(-15/2,-15/2)

Answer: C.) (-15/2 , -15,2)

6 0

3 years ago