Step 1: Find the slope:

This gives you
, but we need to find b.
To find b, substitute in one (x,y) pair and it doesn't matter which one. I'll go with (4,-2):
![\begin{aligned}-2&=-\dfrac{3}{2}(4)+b\\[0.5em]-2&=-6+b\\[0.5em]4&=b\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D-2%26%3D-%5Cdfrac%7B3%7D%7B2%7D%284%29%2Bb%5C%5C%5B0.5em%5D-2%26%3D-6%2Bb%5C%5C%5B0.5em%5D4%26%3Db%5Cend%7Baligned%7D)
Now take that b-value and plug in into the slope-intercept form:

It's always a good idea to toss in the other x-value from the other point, to make sure it checks out.
Answer:
v = 15 miles / hour
Step-by-step explanation:
Given:
Distance covered by biker = s=45 miles
time taken by him = t=180 minutes
TO Find:
speed in miles per hour = v = ?
Solution:
As it is given that the distance covered is 45 miles
and time taken by him is 180 minutes
as one hour have 60 minutes
so time taken by rider = t = 180 /60
= 3 hours
this step is done because we have to find speed in miles per hour
Now
The formula for finding the distance is
distance = speed * time
or
s = v * t
we have to find v
so dividing both sides by t

it becomes

Putting the values

solving it gives
v = 15 miles / hour
which is the required speed
in the given options it is not available
Answer: The answer is 35 degrees
Answer: y=1/3x-2
Step-by-step explanation:
y=Mx+b
1/3 is rise over run
-2 is the y intercept
Answer
<h2>
4</h2>
Step-by-step explanation:
Given,
r = 10
Let's create an equation,

plugging the value of r

Multiply the numbers

Move 5s to L.H.S and change its sign
Similarly, Move 30 to R.H.S and change its sign.

Calculate

The difference sign ( - ) should be cancelled on both sides

Divide both sides of the equation by 5

Calculate

The value of s is 4.
Hope this helps..
Best regards!!