Answer
Let f(x) = ax + b
Then
f(x + 1) = a(x + 1) + b
= ax + a + b
Hence, a = 3, and a + b = 5, b = 2
f(-2) = 3(-2) + 2
= -6 + 2
= - 4
f(2x) = 3(2x ) + 2
= 6x + 2
I added 8 on both sides to get 12=3x then I divided by 3 on both sides to get x=4
Answer:
The answer to your question is m = -5/3
Step-by-step explanation:
Data
Point 1 = (1, -6)
Point 2 = (-8, 9)
Process
To find the slope just substitute the values in the formula and simplify.
Formula
slope = m = (y2 - y1) / (x2 - x1)
-Identify x1, y1, x2 and y2
x1 = 1 y1 = -6 x2 = -8 y2 = 9
-Substitution
m = (9 + 6) / (-8 - 1)
-Simplification
m = 15/-9
-Result
m = -5/3
Answer:
r = - 11
Step-by-step explanation:
Calculate the slope m using the slope formula and equate to - 4
m = 
with (x₁, y₁ ) = (4, 5) and (x₂, y₂ ) = (8, r)
m =
=
= - 4 ( multiply both sides by 4 )
r - 5 = - 16 ( add 5 to both sides )
r = - 11
The answer is a because it starts at 0 then goes up to 23 and then it goes up to 46.