Answer:

Step-by-step explanation:
Equation of a line is given as 
Where,
m = slope of the line = 
b = y-intercept, which is the value at the point where the line intercepts the y-axis. At this point, x = 0.
Let's find m and b to derive the equation for the line.

Use the coordinate pair of any two points on the line. Let's use the following,
=> on the line, when x = 0, y = -2
=> on the line, when x = 4, y = 1
Plug in the values and solve for m



b = -2 (the line intercepts the y-axis at this point)
Our equation would be =>



Motorcyclist: 2 hours
Bus: 2.5 hours
Truck: 3 hours
Bicyclist: 7.5 hours
Given:
Carol has 88cm of string and cuts it in the ratio 5 : 6.
To find:
How much longer is the longest piece compared to the shortest piece.
Solution:
Let the lengths of two pieces of string are 5x and 6x. Then,




Now, the lengths of pieces are:


And,


The difference between the longer piece and shorter piece is:

Therefore, the longer piece is 8 m longer than the shorter piece.
In order from greatest to least, the ribbons go
7/8 (Green)
3/4 (Pink)
1/3 (Blue)
This because 7 out of 8 is a larger number than 3 out of 4, and 3 out of 4 is greater than 1 out of 3.
Answer:
length of a rectangle is 5 more than twice the length. I believe
you mean the length of a rectangle is 5 more than twice the
width.
From the information given we can make two equations,
thus forming a system to solve. We know the perimeter
of a rectangle is 2(length + width) and area = length*width.
length of a rectangle is 5 more then twice the width:
L = 2w + 5
The perimeter is 130:
2(L+w) = 130
L+w = 65
Since we know L=2w+5 we can substitute that into 2nd equation
to solve for w
2w + 5 + w = 65
3w = 60
w = 20
L = 2w+5 = 45
The area is length*width = 20(45) = 900 square units