All categories

3 years ago

Write an equation of the line that passes through a pair of points:

Mathematics

2 answers:

miss Akunina [59]3 years ago

6 0

Answer:

y = -x+2

Step-by-step explanation:

I chose this equation because it had a - (negative) in front of x and has the y -intercept of +2

A negative x shows that the line has a negative slope which goes downward

A y-intercept of 2 shows that the line passes the y-axis at +2 which the graph shows.

Mila [183]3 years ago

5 0

Answer:

C. y=-x+2

Step-by-step explanation:

slope intercept formula: mx+b=y

m = slope

x= value of X

y= value of Y

b= y-intercept

y-intercept: the y-coordinate of the point at which the graph crosses the y-axis.

in this case the y-intercept is 2

slope formula: slope= y2-y1/x2-x1

the two ordered pairs: (2,0), and (0,2)

substitute the variables and solve

2-0/0-2= 2/-2= -1

slope: -1

now substitute the variable for the slope intercept form

y= -1x+2 or y= -x+2

You might be interested in

In a paint factory, an old conveyer line has filled 20 barrels of paint, and is filling more at a rate of 7 barrels per minute.

vagabundo [1.1K]

It takes 10 minutes for the two lines to have filled an equal number of barrels

Each line will have filled 90 barrels

Solution:

Let "x" be the number of minutes

The old conveyer line has filled 20 barrels of paint, and is filling more at a rate of 7 barrels per minute

Thus, a equation is framed as follows:

Old conveyor: 20 + 7(number of minutes)

Old conveyor: 20 + 7x ------- eqn 1

A worker just switched on a newer line that can fill 9 barrels per minute

Thus, a equation is framed as follows:

New conveyor: 9(number of minutes)

New conveyor: 9x -------- eqn 2

In a little while, the two lines will have filled an equal number of barrels.

Thus, eqn 1 must be equal to eqn 2

$20 + 7x =9x\\\\9x - 7x = 20\\\\2x = 20\\\\x = 10$

Thus it takes 10 minutes for the two lines to have filled an equal number of barrels

How many barrels will each line have filled?

Substitute x = 10 in any one of equations

Substitute in eqn 2

9x = 9(10) = 90

Thus each line will have filled 90 barrels

8 0

2 years ago

Mrs. Bennett has a rug that is an equalateral triangle with a perimeter of 12feet. Which could be the length of the sides of the

mars1129 [50]

The length for the sides of the rug could be 4 feet, 4 feet, and 4 feet.

5 0

3 years ago

Read 2 more answers

Help please thanksssssssssssssssssssssssssssssssssssssssssssssssss

Oksanka [162]

Answer:

it is letter c.33.21 in³

4 0

2 years ago

The cost of 5 cans of dog food is 4.35. At this price ,how much do 11 cans of dog food cost

Setler [38]

Answer:

$9.57

Step-by-step explanation:

You have to do 4.35 divided by 5 to get how much 1 can cost. You will find out that 1 can cost $0.87. Next you will take how much one cost and mutiply it by 11. When you do that you will get 9.57. That is how you will get $9.57 as your answer.

5 0

2 years ago

One side of a right triangle is 8 cm shorter than the hypotenuse and 7 cm shorter than the third side. Find the lengths of the s

Reptile [31]

Answer:

5 cm

Step-by-step explanation:

Let the shorter side be a, longer side be b, hypotenuse be c

By Pythagorean theorem:

a² + b² = c²

a² + (a + 7)² = (a + 8)²

a² + a² + 14a + 49 = a² + 16a + 64

a² - 2a - 15 = 0

a² + 3a - 5a - 15 = 0

a(a + 3) - 5(a + 3) = 0

(a + 3)(a - 5) = 0

a = -3 or a = 5

Because a is a side length and is a positive number

a = 5

7 0

3 years ago