Answer:
y = -1/3x + 14/3
Step-by-step explanation:
We have the standard equation as;
y = mx + b
where m is the slope and b is the y-intercept
the given points are;
(-1,5) and (2,4)
So we plug x and y for each of the points
then we create two linear equations which we can solve simultaneously to get the values of m and b
From the points;
5 = -m + b•••••••(i)
4 = 2m + b
from i;
b = 5 + m
substitute this into equation ii
4 = 2m + 5 + m
4 = 3m + 5
4-5 = 3m
3m = -1
m = -1/3
Recall;
b = 5 + m
b = 5-1/3
b = 14/3
so we have the equation as;
y = -1/3x + 14/3
Multiply through by 3
3y = -x + 14
Answer:
128
Step-by-step explanation:
There are 32 50's in 1600.
So 32x4=128
Answer:
They are 240 kilometers apart.
Step-by-step explanation:
This question can be solved using the following relation:

In which v is the velocity, d is the distance and t is the time.
An express train travels 80km/h from Ironton to Wildwood.
Here we have
. So



A local train, traveling at 48km/h, takes 2 hours longer for the same trip.
This means that when ![v = 48, t = x + 2[tex]. So[tex]v = \frac{d}{t}](https://tex.z-dn.net/?f=v%20%3D%2048%2C%20t%20%3D%20x%20%2B%202%5Btex%5D.%20So%3C%2Fp%3E%3Cp%3E%5Btex%5Dv%20%3D%20%5Cfrac%7Bd%7D%7Bt%7D)

Since 

Applying cross multiplication





So the distance is:

They are 240 kilometers apart.