Answer:
C
Step-by-step explanation:
You can rearrange the equation to make it: 4y=3x-2
The slope right now is 3,but that's not the answer
So you divide the whole equation by 4 (it will give you: y=3/4 x- 0.5
So from that you can see that the slope is 3/4, C
The answer is A to change an exponent from negative to positive, just move it into either the numerator or denominator depending on where it is to begin with.
The equation of the line passing through those two points is y=0x+1
Answer: ![y=20-1.25x](https://tex.z-dn.net/?f=y%3D20-1.25x)
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
Where "m" is the slope of the line and "b" is the y-intercept.
You need to analize the information given in the exercise.
You know that gift card had a total of $20. Then, since she started to buy the songs with $20, you can identify that:
![b=20](https://tex.z-dn.net/?f=b%3D20)
Since Renata purchased 16 songs and the gift card had a remaining balance of $0 after this, you can find the cost of each song. This is:
![\frac{20}{16}=\$1.25](https://tex.z-dn.net/?f=%5Cfrac%7B20%7D%7B16%7D%3D%5C%241.25)
Therefore, she spent $1.25 per song. This means that the slope is:
![m=-1.25](https://tex.z-dn.net/?f=m%3D-1.25)
Then, you get that the equation that represents the relationship between "y" (the remaining balance on Renata's gift card) and "x" (the number of songs purchased) is:
![y=20-1.25x](https://tex.z-dn.net/?f=y%3D20-1.25x)