Answer:
So the slope of this function is
and the y-intercept is ![\frac{3}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B2%7D)
Step-by-step explanation:
A first order function has the following format:
![y = ax + b](https://tex.z-dn.net/?f=y%20%3D%20ax%20%2B%20b)
In which a is the slope and b is the y-intercept, that is, the value of y when x = 0.
We have the following equation:
![-x + 2y = 3](https://tex.z-dn.net/?f=-x%20%2B%202y%20%3D%203)
We just have to rewrite this equation
![2y = x + 3](https://tex.z-dn.net/?f=2y%20%3D%20x%20%2B%203)
![y = \frac{x+3}{2}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7Bx%2B3%7D%7B2%7D)
![y = \frac{x}{2} + \frac{3}{2}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7Bx%7D%7B2%7D%20%2B%20%5Cfrac%7B3%7D%7B2%7D)
Which means that
![a = \frac{1}{2}, b = \frac{3}{2}](https://tex.z-dn.net/?f=a%20%3D%20%5Cfrac%7B1%7D%7B2%7D%2C%20b%20%3D%20%5Cfrac%7B3%7D%7B2%7D)
So the slope of this function is
and the y-intercept is ![\frac{3}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B2%7D)
0.09677419354 = 3 divided by 31
Y =mx+b y=2x+3
m is the slope
b is your yintercept [write it as a point (0,b) ]
Step 1: Plot the y intercept (0,3)
Step 2: Trace slope from yintercept ... go 2 place up them 1 place right you should end up on the point (5,1)
Step 3: Draw a line through the two points
Bob's motorboat rents a motorboat for $52 an hour plus an extra $6. If Jenna rents a motorboat for 6 hours how much will it cost her?
Equation: 52x+6=y
X=6 so 52•6+6= 318
So she would pay $318