its 3 1/4 you will thank me later :)
% means per 100
so when figuring out percents it's good to use 100
so
on $100 7% would mean $7
on $50 7% would mean $3.5
in $200 7% would mean $14
Answer:
Parallel line:
![y=-\frac{4}{5}x+\frac{9}{5}](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B4%7D%7B5%7Dx%2B%5Cfrac%7B9%7D%7B5%7D)
Perpendicular line:
![y=\frac{5}{4}x-\frac{1}{2}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B5%7D%7B4%7Dx-%5Cfrac%7B1%7D%7B2%7D)
Step-by-step explanation:
we are given equation 4x+5y=19
Firstly, we will solve for y
![4x+5y=19](https://tex.z-dn.net/?f=4x%2B5y%3D19)
we can change it into y=mx+b form
![5y=-4x+19](https://tex.z-dn.net/?f=5y%3D-4x%2B19)
![y=-\frac{4}{5}x+\frac{19}{5}](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B4%7D%7B5%7Dx%2B%5Cfrac%7B19%7D%7B5%7D)
so,
![m=-\frac{4}{5}](https://tex.z-dn.net/?f=m%3D-%5Cfrac%7B4%7D%7B5%7D)
Parallel line:
we know that slope of two parallel lines are always same
so,
![m'=-\frac{4}{5}](https://tex.z-dn.net/?f=m%27%3D-%5Cfrac%7B4%7D%7B5%7D)
Let's assume parallel line passes through (1,1)
now, we can find equation of line
![y-y_1=m'(x-x_1)](https://tex.z-dn.net/?f=y-y_1%3Dm%27%28x-x_1%29)
we can plug values
![y-1=-\frac{4}{5}(x-1)](https://tex.z-dn.net/?f=y-1%3D-%5Cfrac%7B4%7D%7B5%7D%28x-1%29)
now, we can solve for y
![y=-\frac{4}{5}x+\frac{9}{5}](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B4%7D%7B5%7Dx%2B%5Cfrac%7B9%7D%7B5%7D)
Perpendicular line:
we know that slope of perpendicular line is -1/m
so, we get slope as
![m'=\frac{5}{4}](https://tex.z-dn.net/?f=m%27%3D%5Cfrac%7B5%7D%7B4%7D)
Let's assume perpendicular line passes through (2,2)
now, we can find equation of line
![y-y_1=m'(x-x_1)](https://tex.z-dn.net/?f=y-y_1%3Dm%27%28x-x_1%29)
we can plug values
![y-2=\frac{5}{4}(x-2)](https://tex.z-dn.net/?f=y-2%3D%5Cfrac%7B5%7D%7B4%7D%28x-2%29)
now, we can solve for y
![y=\frac{5}{4}x-\frac{1}{2}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B5%7D%7B4%7Dx-%5Cfrac%7B1%7D%7B2%7D)
Greg’s hourly wage is $9.35 per hour