Hi there!

A line parallel to y = 8/3x has a slope of 8/3, therefore:
Plug the given slope into the slope-intercept formula, along with the given coordinates to solve for the formula:
2 = 8/3(1) + b
2 = 8/3 + b
6/3 = 8/3 + b
6/3 - 8/3 = b
b = -2/3
Therefore, the equation in slope formula is:
y = 8/3x - 2/3
Answer:
The teacher can purchase 61 pencils with $5
Step-by-step explanation:
This is a simple proportion problem. It can be solved by pure logic reasoning without any formulas
It a dozen pencils cost $0.97, each pencil cost $0.97/12=0.08083
With $5 she will be able to purchase 5/0.08083=61.85 pencils
We must round to the nearest lower integer
The teacher can purchase 61 pencils with $5
Answer: 2nd option
Step-by-step explanation: