Answer:
y = 4x + 1
Step-by-step explanation:
y = mx + b
b = y-intercept
From the graph we see that b = 1
m = slope
Start at (0, 1). Go up 8 units. Rise = 8. Go right 2 units. Run = 2.
slope = rise/run = 8/2 = 4
y = 4x + 1
Answer:
y= 2x +6
Step-by-step explanation:
<u>Slope-intercept</u><u> </u><u>form</u>
y= mx +c, where m is the slope and c is the y-intercept.
![\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }](https://tex.z-dn.net/?f=%5Cboxed%7B%20slope%20%3D%20%5Cfrac%7By%20_%7B1%7D%20-%20y_2%20%7D%7Bx_1%20-%20x_2%7D%20%7D)
Slope
![= \frac{6 - ( - 2)}{0 - ( - 4)}](https://tex.z-dn.net/?f=%20%3D%20%20%5Cfrac%7B6%20-%20%28%20-%202%29%7D%7B0%20-%20%28%20-%204%29%7D%20)
![= \frac{6 + 2}{0 + 4}](https://tex.z-dn.net/?f=%20%3D%20%20%5Cfrac%7B6%20%2B%202%7D%7B0%20%2B%204%7D%20)
![= \frac{8}{4}](https://tex.z-dn.net/?f=%20%3D%20%20%5Cfrac%7B8%7D%7B4%7D%20)
= 2
y= 2x +c
y-intercept occurs at x= 0. Since we are given that the line passes through the coordinates (0, 6), the y-intercept is 6.
Thus, the equation of the line is y= 2x +6.
Answer:
0.007
hope this helped you
please mark as the brainliest (ㆁωㆁ)
The correct option is Option D: f(x)=(5)ˣ.
The function is increasing where its derivative is greater than 0.
for example, f(x) is increasing then f'(x) is greater than 0.
Here f(x) = aˣ
so the dervative of the function
d(f(x))/dx=d(aˣ)/dx
⇒f'(x)= ㏑(a)aˣ
f'(x)>0
⇒㏑(a)aˣ >0
as aˣ is always greater than 0,
⇒㏑(a)>0
⇒a>1
as ㏑(a) is greater than 0 when a >1 and is lesser than when 0<a<1.
checking all the options
Option A. f(x)=(1/5)ˣ here a =1/5<1 so, f(x) is not increasing. Option A is incorrect.
Option B: f(x)=(0.5)ˣ here a =0.5<1 so, f(x) is not increasing. Option B is incorrect.
Option C: f(x)=(1/15)ˣ here a =1/15<1 so, f(x) is not increasing. Option C is incorrect.
Option D: f(x)=(5)ˣ here a =5>1 so, f(x) is increasing. Option A is correct.
Therefore the correct option is Option D: f(x)=(5)ˣ.
Learn more about increasing function
here: brainly.com/question/1503051
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