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Alecsey [184]
3 years ago
15

Write an equation of a line that includes the point (22,12) and has a slope of 4 in standard form

Mathematics
1 answer:
Marina CMI [18]3 years ago
6 0
Because you're given a point and the slope, you're going to use point-slope form.

Point slope form: y-y1=m(x-x1)

You have to put your given values into the equation.

y-12=4(x-22)

Because it wants the equation in standard form, you leave the equation as is.

I hope I was able to help. Best of luck!
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Part A
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Answer:

A.  f(n) =0.2n+4.8

B. The y intercept is 4.8

Step-by-step explanation:

Given

a_n= 5 + 0.2(n-1)

Solving (a): Write as a function.

To do this, we simply substitute f(n) for a_n

a_n= 5 + 0.2(n-1) becomes

f(n)= 5 + 0.2(n-1)

Open Bracket

f(n) = 5 + 0.2n-0.2

Collect Like Terms

f(n) =0.2n-0.2 + 5

f(n) =0.2n+4.8

B. The y intercept.

To get the y intercept, we set n to 0

i.e

f(0) =0.2 * 0+4.8

f(0) =0+4.8

f(0) =4.8

Hence, the y intercept is 4.8

4 0
2 years ago
Tyler sells 20 of his records (r) and has 74 left. Which equation best<br> represents this scenario?
Anna71 [15]

Answer:

Equation: r-20=74

Step-by-step explanation:

So he started with 94. I got B

6 0
2 years ago
The scientist creates an equation that models her data for each tree so that she can predict the diameter in the future. Complet
otez555 [7]

Answer:

y = 0.3X + 18.3

Step-by-step explanation:

Given that data :

x = year ;

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3 __ 19.2

5 __ 19.8

7 __ 20.4

9 ___21.0

11 __ 21.6

13 __ 22.2

Using the linear regression calculator :

The linear equation obtained is :

y = 0.3X + 18.3

Where ;

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8 0
3 years ago
A line passes through the point (-4,1) and has a slope of 3/2
anzhelika [568]

Answer:

y=3/2x+7

Step-by-step explanation:

y=mx+b

m=3/2

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4 0
3 years ago
The number is x. Write the mathematical expression for: Five more than the product of the number and six. The mathematical expre
lidiya [134]

Answer:

(6x)+5

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Product of a number and six is saying there is a number "X" and 6 being multiplied

The part saying five more is saying you are adding five to the rest of the equation

6 0
3 years ago
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