Answer:
A. y + 2 = 4/3(x – 3); –4x + 3y = –18
Step-by-step explanation:
(3, –2) and (6, 2)
First, we must establish slope...
m=(y-y1)/(x-x1)
m=(-2-2)/(3-6)
m=-4/-3
m=4/3
Point slope formula is...
y-y1=m(x-x1)
Let's select either coordinate. I randomly select the first (3, –2)...
y--2=4/3(x-3)
Subtracting a negative number is the same as adding a positive number...
y+2=4/3(x-3)
This corresponds to the first answer.
Standard form...
Ax+By=C
y+2=(4/3)x-4
y=(4/3)x-6
-(4/3)x+y=-6
Multiply both sides by 3...
-4x+3y=-18
This also corresponds to the first answer.
How about the second coordinate, (6, 2)...
y-y1=m(x-x1)
y-2=(4/3)(x-6)
Let's convert it into standard form..
y-2=(4/3)x-8
y=(4/3)x-6
-(4/3)x+y=-6
Multiply both sides by 3...
-4x+3y=-18
FIRST ANSWER
y + 2 = 4/3(x – 3); –4x + 3y = –18
Answer:
1/3
Step-by-step explanation:
The average rate of change of a function f(x) on an interval [a, b] is given by the formula ...
rate of change = (f(b) -f(a))/(b -a)
__
For the given function and interval, this is ...
(log₂(4·8) -log₂(4·2))/(8 -2) = (5 -3)/(6) = 1/3
The average rate of change is 1/3.
_____
In the attached graph, the line between the points at the ends of the interval can be seen to have a rise of 1 for a run of 3. Its slope is 1/3.
Here's the right answer <span>x = -11/7, y = 11/4
</span>
Answer:
C. 11.8
The answer is exactly <em>11.77</em>. But when rounded it is <em>11.8</em>.