Answer:
slope = - 1
Step-by-step explanation:
Calculate the slope m using the slope formula
m = 
with (x₁, y₁ ) = (4, - 1) and (x₂, y₂ ) = (- 1, 4)
m =
=
= - 1
Answer:
your answer to this is gonna be x= -3
Since 540 is a whole number, it cannot be simplified anymore.
Answer:
see explanation
Step-by-step explanation:
g(x) - f(x)
x - 3 - (3x + 2) ← distribute parenthesis by - 1
= x - 3 - 3x - 2 ← collect like terms
= - 2x - 5
There are no restrictions on the domain of - 2x - 5, thus
domain is all real numbers

Given to points to us are :-
( As these are plotted on graph with yellow dots .)
Now , we can use Distance Formula , which is :-

Here ,
- x1 = 3 .
- x2 = -1.
- y1 = (-6)
- y2 = (-8).
<u>→ Substituting the respective values , </u>
⇒ Distance = √ [ { 3 - (-1)}² + { -6 -(-8)²} ] .
⇒ Distance = √ (3+1)² + (8-6)²
⇒ Distance = √ 4² + 2²
⇒ Distance = √ 16 + 4
⇒ Distance = √20 = √4 × √5
⇒ Distance = 4√5units .
<u>Hence the distance between two points is 4√5u.</u>