Answer:
Slope: 5
Y-intercept: 0
Equation: y=5x
Step-by-step explanation:
Lets look for an equation of the format y = mx + b, where m is the slope and b is the y-intercept (the value of y when x = 0).
Slope is defined as the "Rise/Run" of the line. The change in y(the rise) for a change in x(the run). This can be calculated by taking any two of the given data points. I'll pick (1,5) and (5,25):
Rise = (25 - 5) = 20
Run = (5 - 1) = 4
The Rise/Run, or slope, m, is (20/4) or 5.
<u>The equation becomes y = 5x + b.</u>
To find b, the y-intercept, enter <u>any</u> of the points into the equation and solve for b:
y = 5x + b
y = 5x + b for (4,20)
20 = 5*(4) + b
b = 0
The line goes through the origin at x = 0 (0,0).
The equation is y = 5x + 0 or just y = 5x.
Slope: 5
Y-intercept: 0
Equation: y=5x
Answer:
He scored
points.
Step-by-step explanation:
Given:
Number of points for a correct answer = 
Number of points scored for an incorrect answer = 
Therefore, for 35 correct answers, points scored = 
Now, for 32 incorrect answers, points scored = 
Therefore, net number of points scored by Nathan is:

Therefore, Nathan scored
points.
Let x represent the speed of of boat.
We have been given that the river current is 3 miles per hour.
The speed of boat upstream will be
.
The speed of boat downstream would be
.

We have been given that you travel 2 miles downstream to a marina for supplies, and then you travel 3 miles upstream to a dock.
We can represent this information in an equation as:

Since the speed of the boat is 18 miles per hour, so we will substitute
in above equation and solve for time.







Since time is in hours, so let us convert our given time in minutes.
1 hour = 60 minutes.


Rounding to nearest tenth of minute.

Therefore, it will take approximately 17.7 minutes for the boat to take the trip.
Answer:
6 + 3 (-8 x -2)
Step-by-step explanation:
6 + 3 (-8 x -2)
= 6+3 ( 16 )
= 9 ( 16 )
= 144
Answer:
400cm^3
Step-by-step explanation:
Volume = length * height * width
Volume = 5 * 8 * 10 = 400 cm^3