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3 years ago

What is the slope of the line that goes through the points (2,-1) and (6,1)

Mathematics

1 answer:

drek231 [11]3 years ago

7 0

Answer: The slope is $\frac{1}{2}$ .

Step-by-step explanation:

1. You set up your Slope Formula $M=\frac{y2-y1}{x2-x1}$ .

2. Substitue your points into the formula. $M=\frac{1--1}{6-2}$ .

3. Once you substitute, you will solve the equation $M=\frac{2}{4}$ .

4. Simplify the equation if you have to $M=\frac{1}{2\\}$ .

You might be interested in

What is (128 +7x- 12) = (4x - 3)?

podryga [215]

Answer:

x = -119/3 = -39 2/3

Step-by-step explanation:

(128 +7x- 12) = (4x - 3)

Combine like terms

(116 +7x) = (4x - 3)

Subtract 4x from each side

116 +7x-4x=4x-4x-3

116 +3x = -3

Subtract 116 from each side

116-116 +3x = -3-116

3x = -119

Divide each side by 3

3x/3 = -119/3

x = -119/3

x = -39 2/3

4 0

3 years ago

In a particular course, it was determined that only 70% of the students attend class on Fridays. From past data it was noted tha

siniylev [52]

Answer: Probability that students who did not attend the class on Fridays given that they passed the course is 0.043.

Step-by-step explanation:

Since we have given that

Probability that students attend class on Fridays = 70% = 0.7

Probability that who went to class on Fridays would pass the course = 95% = 0.95

Probability that who did not go to class on Fridays would passed the course = 10% = 0.10

Let A be the event students passed the course.

Let E be the event that students attend the class on Fridays.

Let F be the event that students who did not attend the class on Fridays.

Here, P(E) = 0.70 and P(F) = 1-0.70 = 0.30

P(A|E) = 0.95, P(A|F) = 0.10

We need to find the probability that they did not attend on Fridays.

We would use "Bayes theorem":

$P(F\mid A)=\dfrac{P(F).P(A\mid F)}{P(E).P(A\mid E)+P(F).P(A\mid F)}\\\\P(F\mid A)=\dfrac{0.30\times 0.10}{0.70\times 0.95+0.30\times 0.10}\\\\P(F\mid A)=\dfrac{0.03}{0.695}=0.043$

Hence, probability that students who did not attend the class on Fridays given that they passed the course is 0.043.

8 0

3 years ago

What is the volume of a cube with a side length of 13 inches? A. 1014 in3 B. 169 in3 C. 2197 in3 D. 39 in3

Nadusha1986 [10]

Do 13 x 13 x 13.

13 x 13 x 13 = 2197 in3

Hope this helps!

4 0

3 years ago

Read 2 more answers

If f(x)=1−x^2 +x^3 , then f(−1)=

Andrews [41]

Answer:

f(-1) = -1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Functions
Function Notation

Step-by-step explanation:

Step 1: Define

Identify

f(x) = 1 - x² + x³

f(-1) is x = -1 for the function f(x)

Step 2: Evaluate

Substitute in x [Function f(x)]: f(-1) = 1 - (-1)² + (-1)³
Exponents: f(-1) = 1 - 1 - 1
Subtract: f(-1) = -1

6 0

3 years ago

The width of a rectangle is 33cm. The perimeter is at least 776 centimeters. Hat would the inequality be?

inessss [21]

So, I'm assuming you need to find the inequality of the length of the rectangle. So, since we know the perimeter of a rectangle is:
$P = 2(l+w)$

And you are given the w (width), and also given that the perimeter's at least 776cm:
$772 \geq 2(33+l)$

We just solve for l:
$772 \geq 66+2l$
$706 \geq 2l$
$\frac{706}{2} \geq l$
$353 \geq l$

So your answer is:
$l \leq 353$

7 0

3 years ago