Question

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

Answer 1

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 $x = 6, y = -12$

So

$y = ax + b$

$-12 = 6a + b$

(15. -3)

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

So

$y = ax + b$

$-3 = 15a + b$

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.

Answer 2

Answer:

1

Step-by-step explanation:

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

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

= (-3+12)/(9)

= 9/9

= 1