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3 years ago

Identify the slope and y-intercept for the linear equation below. y = 1/3x+7

Mathematics

2 answers:

lyudmila [28]3 years ago

7 0

Answer:

Slope is 1/3 and the y- intercept is 7

Step-by-step explanation:

Since the equation is y = mx+b, we know that 1/3 is the slope since m represents the slope and b represent the y-intercept, meaning 7 is the answer.

OleMash [197]3 years ago

4 0

Answer:

Slope is 1/3.

Y-intercept is 7.

Step-by-step explanation:

y = mx + b is the slope-intercept form.

m = slope

b = y-intercept

In the equation, y = 1/3x + 7

m = 1/3

b = 7

Therefore, slope is 1/3 and y-intercept is 7.

Hope this helped! <3

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A 25 ft ladder leans against a building. The ladder’s base is 13.5 feet from the building. Find the angle of elevation, which th

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Answer:

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Step-by-step explanation:

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3 years ago

How do i solve 16x+9=9y-2x

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2 years ago

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At a farm, there are two huge pits for storing hay. 90 tons of hay is stored in the first pit, 75 tons in the second pit. Then,

Travka [436]

Answer:

63 tons

Step-by-step explanation:

The problem statement asks for the tons of hay removed from the first pit. It is convenient to let a variable (x) represent that amount. This is said to be 3 times the amount removed from the second pit, so that amount must be x/3.

The amount remaining in the first pit is 90-x.

The amount remaining in the second pit is 75 -x/3.

Since the first pit remaining amount is half the second pit remaining amount, we can write the equation ...

... 90 -x = (1/2)(75 -x/3)

... 180 -2x = 75 -x/3 . . . . multiply by 2

... 105 - 2x = -x/3 . . . . . . subtract 75

... 315 -6x = -x . . . . . . . . multiply by 3

... 315 = 5x . . . . . . . . . . . add 6x

... 63 = x . . . . . . . . . . . . . divide by 5

63 tons of hay were taken from the first pit.

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<em>Check</em>

After removing 63 tons from the first pit, there are 27 tons remaining. After removing 63/3 = 21 tons from the second pit, there are 54 tons remaining. 27 is half of 54, so the answer checks OK.

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