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allsm [11]
2 years ago
11

Which is the slope of the lime that passes through the points (2, 8) and (4, 6)?

Mathematics
2 answers:
earnstyle [38]2 years ago
6 0

Answer:

B slope=-1

Step-by-step explanation:

take change in y\x

hence:

6-8\4-2

ans=

-2\2

=-1

maw [93]2 years ago
4 0

Answer:

Option B) Slope = -1

Step-by-step explanation:

For a line passing thru any two points, (x₁, y₁) and (x₂, y₂), its slope is:

\boxed{\mathfrak{slope\:of \:a\: line=\mathsf {\frac{y_2-y_1}{x_2-x_1} }}}

Here, the points are (2, 8) and (4, 6)

therefore,

slope = \mathsf{\frac{6-8}{4-2} }

= \mathsf{\frac{-2}{2} }

= -1

[NOTE: Here, I'm taking (2, 8) as (x₁, y₁), you can take (4, 6) as the latter. The answer obtained in both the cases will be the same.]

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Elanso [62]

The series of operations for each case are listed below:

  1. GCF / GCF / GCF
  2. GCF / Grouping
  3. Quadratic trinomial
  4. GCF / Quadratic trinomial
  5. Difference of squares
  6. Difference of cubes / Quadratic trinomial
  7. Sum of cubes
  8. GCF / Quadratic trinomial
  9. GCF / Difference of squares

<h3>How to applying factor properties to simplify algebraic expressions</h3>

In algebra, factor properties are commonly used to solve certain forms of polynomials in a quick and efficient way and whose effectiveness is sustained on all definitions and theorems known in real algebra. In this problem, we should explain and show what factor properties are used in each case:

Case 1

5 · x · y³ + 10 · x² · y                                             Given

5 · (x · y³ + 2 · x² · y)                                            GCF

5 · x · (y³ + 2 · x · y)                                              GCF

5 · x · y · (y² + 2 · x)                                              GCF

Case 2

6 · z · x + 9 · x + 14 · z + 21                                   Given

3 · x · (z + 3) + 7 · (z + 3)                                       GCF

(3 · x + 7) · (z + 3)                                                  Grouping

Case 3

a² + 2 · a - 63                                                       Given

(a + 9) · (a - 7)                                                       Quadratic trinomial

Case 4

6 · z² + 5 · z - 4                                                     Given

6 · [z² + (5 / 6) · z - 2 / 3]                                      GCF

6 · (z - 1 / 2) · (z + 4 / 3)                                         Quadratic trinomial

Case 5

81 · m² - 25                                                           Given

(9 · m + 5) · (9 · m - 5)                                           Difference of squares

Case 6

8 · x³ - 27                                                               Given

(2 · x - 3) · (4 · x² + 6 · x + 9)                                  Difference of cubes

4 · (2 · x - 3) · [x² + (3 / 2) · x + 9 / 4]                      Quadratic trinomial

Case 7

27 · b³ + 64 · z³                                                      Given

(3 · b + 4 · z) · (9 · b² - 12 · b · z + 16 · z²)               Sum of cubes

Case 8

2 · w³ - 28 · w² + 80 · w                                         Given

2 · w · (w² - 14 · w + 40)                                          GCF

2 · w · (w - 4) · (w - 10)                                             Quadratic trinomial

Case 9

200 · a⁴ - 18 · b⁶                                                     Given

2 · (100 · a⁴ - 9 · b⁶)                                                GCF

2 · (10 · a² + 3 · b³) · (10 · a² - 3 · b³)                       Difference of squares

To learn more on polynomials: brainly.com/question/17822016

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7 0
1 year ago
Hey therapy was conducted to see how many people ride a bus to school every day. 160 people reported that they ride the bus to s
xeze [42]

Answer:

200 people

Step-by-step explanation:

Let: the number of people who surveyed be: x

Therefore, (160/x) x 100=80%

=> x=(160x100)/80

=>x=16000/80

=>x= 200

Thus, 200 people surveyed.

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4 0
3 years ago
I need help on saxon math algebra 1 lessons 36-40 can you please help me ,
saul85 [17]
36-40= -4
36 subtracted by 40 equals negative 4
-4
7 0
2 years ago
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Ms. Wolf’s first job was at a frozen yogurt shop where she made $9 per hour. After a raise, Ms. Wolf earned $9.75 per hour. What
Ber [7]

Answer:

8 percent

Step-by-step explanation:

9.75/9 is 1.08, which means 8 percent

7 0
3 years ago
Cassie paid $276.45 for 5 months of cell phone service. At that rate, how much will Cassie pay for a full year of cell phone ser
irinina [24]
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