Answer:
Average speed, S = 45 mph
Step-by-step explanation:
<u>Given the following data;</u>
Take-off time = 10 AM
Arrival time = 4 PM
Distance = 270 miles
To find the average speed of the bus;
First of all, we would determine the total time.
10 AM to 4 PM = 6 hours
Total time = 6 hours
Speed can be defined as distance covered per unit time. Speed is a scalar quantity and as such it has magnitude but no direction.
Mathematically, speed is given by the formula;

Substituting into the formula, we have;

<em>Average speed, S = 45 mph</em>
<em />
<em>Therefore, the average speed of the bus is 45 miles per hour.</em>
<u>Answer:
</u>
The equation in slope intercept form for (5,9) and (6,8) is y = 3x-10
<u>Solution:
</u>
Given that (5,9) and (6,8)
Here, 
We know the slope of an equation is given by y = mx+c
To find the value of m, we use the below given formula

Substituting the values we get,


m = 3
Putting the value of m in the slope intercept form we get,
y = 3x+c
To find the value of c, we substitute the value of x and y from any two given point. Let’s take x = 5 and y = 5
5 = 3(5) + c
5 = 15 +c
5-15 = c
c = -10
Therefore the slope intercept equation becomes y = 3x -10
Answer:
Step-by-step explanation:
Choice A is the only one that is applicable.
Answer:

Step-by-step explanation:
Hi there!
In
, m is the slope of the line and b is the y-intercept (the value of y when x is 0). y and x remain the same but m and b are replaced with numbers.
Given that the slope is -5, plug it into
:

Now, to solve for b, plug in the given point (-2,4):

Subtract 10 from both sides to isolate b:

Therefore, the y-intercept of this line is -6. Plug this back into
as b:

I hope this helps!