3 years ago

What is the slope of the line represented by the data table?

1 answer:

6 0

A) Slope: (y2 - y1) / (x2 - x1)

You can use point (-1, -6) and (0, -8)

Slope = (-8 - -6) /(0 - -1) = (-8+6)/(0+1) = -2/1 = -2.

Slope = -2.

b) Point (0, -8) is the point such that x = 0, and y = -8, this point represents the vertical intercept of the equation. The point where the line cuts the y axis.

You might be interested in

Use the algebraic procedure explained in section 8.9 in your book to find the derivative of f(x)=1/x. Use h for the small number

Triss [41]

Answer:

By definition, the derivative of f(x) is

$lim_{h\rightarrow 0}\frac{f(x+h)-f(x)}{h}$

Let's use the definition for $f(x)=\frac{1}{x}$

$lim_{h\rightarrow 0} \frac{\frac{1}{x+h}-\frac{1}{x}}{h}=\\lim_{h\rightarrow 0} \frac{\frac{x-(x+h)}{x(x+h)}}{h}=\\lim_{h\rightarrow 0} \frac{\frac{(-1)h}{x^2+xh}}{h}=\\lim_{h\rightarrow 0} \frac{(-1)h}{h(x^2+xh)}=\\lim_{h\rightarrow 0} \frac{-1}{x^2+xh)}=\frac{-1}{x^2+x*0}=\frac{-1}{x^2}$

Then, $f'(x)=\frac{-1}{x^2}$

7 0

3 years ago

Solve 5n+7=7(n+l)-2n <br>

notsponge [240]

Answer: The answer is 1 =n and my work is in the bottom and hope this help :)

Step-by-step explanation:

5n+7=7(n+l)-2n distributive property

5n+7=7n+7-2n Combines Like Term

5n+7= 12n subtract 5n to both side

-5n -5n

7 = 7n divide 7n to both side

7 7

1=n

7 0

2 years ago

The point (-6, 4) is reflected over the x-axis.<br> What is the new point?

alexira [117]

Answer:

(-6,-4)

Step-by-step explanation:

A reflection over the x-axis changes the y variable

(x,y)--->(x,-y)

3 0

3 years ago

Read 2 more answers

Madeline bought a new coat at a 20% off sale. She save $27. What was the original price of the coat?

kompoz [17]

Let, the original price = x

x*20 /100 = 27

x = 2700/20 = 135

Original price was $135

8 0

2 years ago

2. Find the x and y<br> intercepts:<br> y = 1/2x+4

lawyer [7]

Answer:

y intercept = 4

x intercept = -8

Step-by-step explanation:

0 = x/2 + 4

-4 = x/2

-8 = x

y=mx+b

y = 1/2x+4

Y intercept = b, b= 4

6 0

2 years ago