Write an equation for the line that passes through (8,6) and (-8,2)

Mathematics

1 answer:

Aleks04 [339]2 years ago

6 0

Answer:

y=1/4x+4

Step-by-step explanation:

1. y1-y2/x1-x2 = slope

6-2/8--8

6-2/8+8

4/16

1/4 = slope

2. y=mx+b (m=slope and b= y-intercept)

y=1/4x+b

(plug in one set of coordinates for x and y)

6=1/4(8)+b

6=2+b

6-2=b

4=b

(plug in 4 as y-intercept)

y=1/4x+4

You might be interested in

The photography club decided to go on a field trip to the Andy Warhol museum. They had to break into smaller groups once they go

Diano4ka-milaya [45]

A)
Let x represent the cost of 1 student, and y the cost of 1 teacher.

B)
In the first group, there's 25 students and 2 teachers. Their total cost is $97.50
So 25x + 2y = 97.50
In the second group, there's 32 students and 3 teachers. Their total cost is $127
So 32x + 3y = 127

We get the following system of equations:
25x + 2y = 97.50 (1)
32x + 3y = 127 (2)

C)
25x + 2y = 97.50 (1)
32x + 3y = 127 (2)

In equation (1)
25x + 2y = 97.50
25x + 2y - 2y = 97.50 - 2y
25x = 97.50 - 2y
25x / 25 = 97.50/25 - 2y/25
x = 3.9 - (2/25)y

In equation (2), let's replace x by its algebraic value
32x + 3y = 127
32(-2/25y + 3.9) + 3y = 127
11/25y + 124.8 = 127
11/25y + 124.8 - 124.8 = 127 - 124.8
11/25y = 2.2
(11/25y) / (11/25) = 2.2 / (11/25)
y = 5

x = -2/25y + 3.9
x = -2/25 * 5 + 3.9
x = 3.5

So the cost of each student is $3.5, and the cost of each teacher is $5.

Hope this helps! :)

4 0

2 years ago

Find MZP. The diagram is not to scale.

Ad libitum [116K]

Answer:

p= 50

Step-by-step explanation:

the angle that measures 130 is supplementary to the angle below, meaning the other angle must equal 50 degrees. This angle is an alternate interior angle with angle p, making them congruent.

3 0

2 years ago

If x – 10 is a factor of x2 – 8x – 20, what is the other factor?

Svetach [21]

Answer:

The other factor is $(x+2)$