First use the point slope form
y-y1=m(x-x1)
plug in the ordered pair to the y1 and x1 so
y--3=m(x--8)
add the slope and make the double minus into a plus
y+3=34(x+8)
then you can distribute the 34
y+3=34x+272
then to get it to slope intercept you subtract 3 from both sides of the equation to make it y=mx+b so
y=34x+269
<u>ANSWER: </u>
The equation is y = 1.06x, so option D is correct.
<u>EXPLANATION:</u>
Given:
Amount Catherine is paid for an MP3 player=$159.00
The price paid includes a sales tax= 6%
To find:
Equations that can be used to determine the price of the MP3 player before tax?
Solution:
Now, we know that, total cost = selling price of item + sales tax on item
y = x + 6% of x
y = x + 
y = x + 0.06x
y = 1.06x
Hence, the equation is y = 1.06x, so option D is correct.
The function would be f (x) = 0.4x - 4.
Explanation
We can see that this is linear, since it increases at a constant rate. We find the slope using the formula
m=(y₂-y₁)/(x₂-x₁) = (0.8-0.4)/(12-11) = 0.4/1 = 0.4
We use point-slope form to write the initial equation:
y-y₁ = m(x-x₁)
y-0.4 = 0.4(x-11)
Using the distributive property:
y-0.4 = 0.4*x - 0.4*11
y-0.4 = 0.4x-4.4
Add 0.4 to both sides:
y-0.4+0.4 = 0.4x-4.4+0.4
y=0.4x-4
Answer:
Step-by-step explanation:
1.169
