Answer:
y = -½x + 5
Step-by-step explanation:
Formula for slope intercept form is y = mx + b
Where m represents the slope and b represents the y intercept
.............................
Solving for m
...........................
m = (y2 - y1)/(x2-x1)
y2 = 4, y1 = 2
x2 = 2, x1 = 6
m = (4-2)/2-6)
m = 2/(-4)
m = -½
.......................
Solving for b
.........................
Using point F(6,2) as reference
y = 2, x = 6, m = -½
if y = mx + b
Substituting 2 for y and 6 for x in the above equation
2 = -½ * 6 + b
2 = -3 + b
2 + 3 = b
5 = b
b = 5
OR
Using Point G(2,4) as reference
y = 4, x = 2, m = -½
if y = mx + b
Substituting 4 for y and 2 for x in the above equation
4 = -½*2 + b
4 = - 1 + b
4+1 = b
5 = b
b = 5
.............................................
Finally, we have to write the equation in slope form
Using y = mx + b
where m = -½ and b =5 ................ (Calculated)
y = -½x + 5
Hi there!
f(x) = 2(1/5)ˣ
Recall the form of an exponential function:
f(x) = a(b)ˣ where:
a = initial value
b = rate of decay/growth
If b > 1, the function is undergoing exponential growth. If b < 1, then the function is undergoing exponential decay.
1/5 < 1, so the function is undergoing exponential decay, not growth.
Answer: B. y-1=2(x-3)
Step-by-step explanation:
First subtract both sides by 2x so it becomes -y=-2x-1
Second divide both sides by -1 so it becomes y=2x+1
After that to get it in the form they want it subtract 1 from both sides so that it becomes y-1=2x
Answer:
6.4 kmph
Step-by-step explanation:
12.8/2=6.4 kmph
