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2 years ago

A line passes through the points (7,6) and (8,8) What is its equation in slope intercept form?

Mathematics

1 answer:

rjkz [21]2 years ago

8 0

Answer:

Step-by-step explanation:

The slope: $m=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{8-6}{8-7}=\dfrac21=2$

y = mx + b ← slope intercept form

(8, 8) ⇒ x = 8, y = 8

so:

8 = 2·8 + b

b = - 8

The equation: y = 2x - 8

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Answer:

112 Ounces

Step-by-step explanation:

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2 years ago

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5. Write two expressions for the area of the big rectangle.

4vir4ik [10]

Answer:

Two expressions for the area are;

i) x/3 + 2·y + 6

ii) (1/3) × (x + 6·y + 18)

Step-by-step explanation:

The given dimension of the rectangle are;

The height of the rectangle, h = 1/3

The width of the smallest rectangle, w₁ = x

The width of the med sized rectangle, w₂ = 6·y

The width the large rectangle, w₃ = 18

The area, 'A', of the entire rectangular figure, the big rectangle, can be expressed as follows;

A = A₁ + A₂ + A₃

Where;

A₁ = The area of the smallest rectangle

A₂ = The area of the mid sized rectangle

A₃ = The area of the large rectangle

∴ A = (1/3) × x + (1/3) × 6·y + (1/3) × 18 = x/3 + 2·y + 6

The area of the big rectangle. 'A', can also be found as follows;

A = (1/3) × (x + 6·y + 18)

Therefore, two expressions for the area of the big rectangle are;

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2 years ago

Alonzo takes 12 minutes to run 6 times around a 400-meter track. Assuming he runs at a constant speed, how long does he take to

snow_lady [41]

Answer:

5 minutes to run 1 kilometer

Step-by-step explanation:

Alonzo takes 12 minutes to run 6 times around a 400-meter track.

6 times around a 400 m track

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It take 12 minutes to run 2400 meters

2400 meters = 2400/1000 = 2.4km

distance = 2.4 km and time = 12 minutes

Now we find our constant speed

$Distance = speed * time$

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divide by 12 on both sides

speed = 0.2

so speed is 0.2 km per minute

Now we find out time when distance = 1km

Distance = speed * time

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divide by 0.2 on both sides

5 = t

So it take 5 minutes to run 1 kilometer

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2 years ago

Solve the system.

anyanavicka [17]

X= -2
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3 years ago

Mr . Bernstein teaches 100studens. of his 100studwnts ,21wear glasses . what percent of me Bernstein 's students wear glasses

atroni [7]

Answer:

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Step-by-step explanation:

The answer is 21% because 21/100 =21

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2 years ago

Read 2 more answers

A line passes through the points (7,6) and (8,8) What is its equation in slope intercept form?​

A line passes through the points (7,6) and (8,8) What is its equation in slope intercept form?