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mart [117]
3 years ago
8

SLOPE PLEASE HELP1!!!!!

Mathematics
1 answer:
olga2289 [7]3 years ago
8 0
You want this in slope-intercept form, which is : y=mx+b 

Where m = slope, and b = y-intercept

To find the slope, pick two points on the line given to us :)

I have decided to pick the points : (0, -4) and (4, -3)

To solve for the slope, we use the slope equation, which is : m = y₂-y₁ / x₂-x₁

** In this case, y₂ = -3 ; y₁ = -4 ; x₂ = 4 ; x₁ = 0 **

Simply plug everything in :)

m = -3 - (-4) / 4 - 0

Simplify.

m = -3 + 4 / 4

Simplify.

m = 1/4

So, our slope is 1/4.

Now we need to find the y-intercept.

** Remember : The y-intercept is the point in which our given line passes (goes) through the y-axis **

So, please go look at our line. As you can see, our y-intercept is -4, as that is the point in which our line passes through the y-axis.

So, the slope is 1/4 & the y-intercept is -4.

Slope-intercept form : y = mx + b

Plug everything in.

y = 1/4x - 4 is your final answer.

~Hope I helped!~



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Read 2 more answers
F(1)=-12, f(n)=2f(n-1) <br> find first 4 terms
amid [387]
<h3>First four terms are:   -12, -24, -48, -96</h3>

============================================

Explanation:

The notation f(1) = -12 tells us that the first term is -12.

The equation f(n) = 2*f(n-1) indicates that we're multiplying the (n-1)th term by 2 to get the nth term. Basically we multiply each term by 2 to get the next term.

-12*2 = -24

-24*2 = -48

-48*2 = -96

So the first four terms are -12, -24, -48, -96.

-----------------------------------

Alternative Approach

f(1) = -12 .... first term

f(n) = 2*f(n-1) ... nth term recursive formula

f(2) = 2*f(2-1) ... plug in n = 2

f(2) = 2*f(1)

f(2) = 2*(-12) ... plug in f(1) = -12

f(2) = -24 ... second term

f(n) = 2*f(n-1) .... resetting for the next computation

f(3) = 2*f(3-1) ... plug in n = 3

f(3) = 2*f(2)

f(3) = 2*(-24)  ... plug in f(2) = -24

f(3) = -48 .... third term

f(n) = 2*f(n-1) ... one more reset

f(4) = 2*f(4-1) .... plug in n = 4

f(4) = 2*f(3)

f(4) = 2*(-48) ... plug in f(3) = -48

f(4) = -96 ... fourth term

We get the first four terms to be -12, -24, -48, -96, which was the same as earlier.

4 0
2 years ago
Ab=6cm<br> Ac=12cm<br> Calculate the length of CD
KatRina [158]

Answer:

12.7 cm

Step-by-step explanation:

ABC

12² = 6² + BC²

12² - 6² = BC²

144 - 36 = 108

CB² = 108

√108 = 10.392

CB = 10.392

CBD

Sin (55°) = CB / CD

0.81915 = √108 / CD

CD = 10.392 / 0.81915

CD = 12.686

CD = 12.7cm

3 0
2 years ago
Ben is 39 years old and Ishaan is 3 years old. How many years will it take until Ben is only 4 times as old as Ishaan?
Evgen [1.6K]

Answer:

9\ years

Step-by-step explanation:

Let

x------> the number of years

we know that

(39+x)=4(3+x)

Solve for x

39+x=12+4x

4x-x=39-12

3x=27

x=9\ years

4 0
2 years ago
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