All categories

4 years ago

(6, -12). (15. -3) Find the slope

Mathematics

2 answers:

Allisa [31]4 years ago

5 0

Answer:

The slope is 1.

Step-by-step explanation:

A first order function has the following format

$y = ax + b$

In which a is the slope

(6, -12).

This means that when $x = 6, y = -12$

$y = ax + b$

$-12 = 6a + b$

(15. -3)

This means that when $x = 15, y = -3$

$y = ax + b$

$-3 = 15a + b$

We have to solve the following system of equations:

$-12 = 6a + b$

$-3 = 15a + b$

We have to find a

In the second equation i will write as:

$b = -3 - 15a$

Replacing in the first

$-12 = 6a + b$

$-12 = 6a - 3 - 15a$

$-9 = -9a$

$9a = 9$

$a = \frac{9}{9}$

$a = 1$

The slope is 1.

Sliva [168]4 years ago

3 0

Answer:

Step-by-step explanation:

Slope = (y2-y1)/(x2-x1)

= (-3-(-12))/(15-6)

= (-3+12)/(9)

= 9/9

= 1

You might be interested in

A company pays its employees a fixed base salary and a commission based on sales. The scatter plot below shows the total earning

Monica [59]

I'm assuming the question is

A company pays its employees a fixed base salary and a commission based on sales. The scatter plot shows the total earning of an employee of the company (y) based on sales (x):

Plot the ordered pairs 0, 10 and 100, 20 and 200, 30 and 300, 40 and 400, 50 and 500, 60

Which function best represents the data in the scatter plot? (1 point)

y = 0.1x + 10

y = 0.1x − 10

y = 0.1x + 1

y = 0.2x − 1

So thus your answer would be y = 0.1x + 10

5 0

3 years ago

Create four equations using 9, 54 and 6 fact families

Contact [7]

9 * 6 = 54
6 * 9 = 54

These would be 2 of the 4 equations, because 6 times 9 equals 54 and 9 times 6 equals 54, but are written in a different way. Thus meaning they are 2 of the 4 equations.

54/6 = 9
54/9 = 6

These 2 would be the final to, because 54 divided by 6 is 9, and 54 divided by 9 is 6. Thus meaning they are the final 2 equations.

I hope this helps!

6 0

3 years ago

Which number produces an irrational number when multipled by 1/4

BabaBlast [244]

Answer: Any irrational number

Step-by-step explanation:

An irrational number is a number that cannot be expressed as a fraction of two integers where the denominator is different from zero, it is also characterized by the fact that its decimal expression is neither exact nor periodic.

As an example of this we have $\pi = 3.141592653 ...$