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xenn [34]
3 years ago
8

What are the slope and why intercept shown on the graph below

Mathematics
2 answers:
vfiekz [6]3 years ago
4 0
Hi there! The formula for finding the slope is y2 - y1/ x2 - x1, where the first x and y-coordinates are subtracted from the second x and y-coordinates. We have the two points on the graph marked. We will use (0, 5) and (4, -5) in this case. Here are the numbers that represent each:

y2 = -5
y1 = 5
x2 = 4
x1 = 0

Let's subtract. -5 - 5 is -10. 4 - 0 is 4. -10/4 is -2 1/2 in simplest form or -5/2 as a mixed number. We found the slope. The y-intercept is where the line crosses, where the x-axis is 0. In this case, we can see by the point given out that the slope intercept is 5. There. The slope is -5/2 and the slope-intercept is 5. The answer is B.
viktelen [127]3 years ago
3 0
Hello!

Let's start by finding the slope of the line. You can calculate the slope by dividing the change in y-values by the change in x-values using the following formula:

\frac{ y_{1}- y_{2}  }{ x_{1} - x_{2} }

The plotted coordinates are (0, 5) and (4, -5); let's plug those into the formula:

\frac{5(-5)}{0-4}

Simplify:

\frac{5+5}{-4}

\frac{10}{-4}

\frac{-5}{2}

The slope is \frac{-5}{2}.

Now, the y-intercept is where the line intersects the y-axis, or when x equals 0. x equals 0 when y equals 5, so the y-intercept is 5.

I hope this helps!
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Consider the line y=9x-8
jasenka [17]

Answer:

y=9x+75

Step-by-step explanation:

since we know that the slope must be the same for two lines to be proportional, we are gonna start there.

so our equation is: y= 9x + b

we need to find b to complete our equation, so substitute in the points we were given.

3 = 9(-8) + b

so now,

3 = -72 + b

now we have to isolate b to find out what it is,

3  =  -72 + b

+72   +72

so now: 75= b

Put that back into the starting equation: y = 9x + 75

7 0
3 years ago
What are the possible number of positive, negative, and complex zeros of f(x) = x6 – x5– x4 + 4x3 – 12x2 + 12 ?
FinnZ [79.3K]
This is a polynomial with more than 2 as a degree. Using Descartes Rule of Signs: 
f(x) = x⁶ + x⁵ + x⁴ + 4x³ − 12x² + 12 
Signs: + + + + − + 2 sign changes ----> 2 or 0 positive roots 
f(−x) = (−x)⁶ + (−x)⁵ + (−x)⁴ + 4(−x)³ − 12(−x)² + 12 f(−x) = x⁶ − x⁵ + x⁴ − 4x³ − 12x² + 12 
Signs: + − + − − + 4 sign changes ----> 4 or 2 or 0 negative roots 
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7 0
3 years ago
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Determine the ratio of shaded sections to striped sections. Then explain its meaning.
LenaWriter [7]

Answer:

Determine the ratio of shaded sections to the total number of sections. Write the ratio as a fraction in simplest form and as a decimal.

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Find all solutions of the system of equations algebraicllally. Write your solutions as coordinate points Y=3x^2- 2x-1 2x+y=11
zloy xaker [14]

Answer:

(- 2, 15 ) and (2, 7 )

Step-by-step explanation:

Given the 2 equations

y = 3x² - 2x - 1 → (1)

2x + y = 11 → (2) ← subtract 2x from both sides

y = 11 - 2x → (3)

Substitute y = 3x² - 2x - 1 into (3)

3x² - 2x - 1 = 11 - 2x ( subtract 11 - 2x from both sides )

3x² - 12 = 0 ( add 12 to both sides )

3x² = 12 ( divide both sides by 3 )

x² = 4 ( take the square root of both sides )

x = ± \sqrt{4} = ± 2

Substitute these values into (3) for corresponding values of y

x = - 2 : y = 11 - 2(- 2) = 11 + 4 = 15 ⇒ (- 2, 15 )

x = 2 : y = 11 - 2(2) = 11 - 4 = 7 ⇒ (2, 7 )

8 0
2 years ago
What is the logarithmic form of the equation e5x ≈ 4768?
professor190 [17]

Answer: The answer is (c) ln 4768 = 5x.

Step-by-step explanation:  The given equation is

e^{5x}=4768.

We are to find the logarithmic form of the above equation.

We will be using the following properties of logarithm :

(i)~\ln a^b=b\ln a,\\\\(ii)~\ln e=1.

The solution is as follows:

e^{5x}=4768\\\\\Rightarrow \ln{e^{5x}}=\ln 4768\\\\\Rightarrow 5x\ln e=\ln 4768\\\\\Rightarrow 5x\times 1=\ln4768\\\\\Rightarrow 5x=4768.

Thus, the correct option is (c).

8 0
3 years ago
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