A parallel line has the same slope as the original line. So in this case the slope of the line is also 3/4. Now how do we know if it intersects the point? We need to adjust the y intercept.
Currently, we know the equation of the line is y= 3/4 x + b, where b is the thing we are looking for. We also have a point, which supplies the x and y. Plug that in and solve for b
-2 = (3/4)*(12) + b
You'll get b= -11
So the equation of the parallel line intersecting the point given is y= 3/4x -11.
I am assuming that the slope is 3/4 based on the way you formatted the original equation, but it's the same steps if the slope is different.
multiply the amount of one piece with the number of pieces
1.85×8=14.8
Answer: There are 20 used bikes
Explanation: If there are 4 times the used bikes then you would have to do 80 divided by 4 and there’s the answer
- The kind of curve obtained is linear.
- The relationship between the variables is direct variation.
- After 4.5 seconds, I expect the velocity to be equal to 140 ft/s.
- The amount of time required for the object to attain a speed of 100 ft/s is 3.2 seconds.
<h3>What is a graph?</h3>
A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a Cartesian coordinate, which are the x-axis and y-axis.
In this exercise, you're required to plot a graph for the data (velocity and time) recorded for an object that is falling from rest.
Based on the graph for the data (see attachment), we can logically deduce the following points:
- The kind of curve obtained is linear.
- The relationship between the variables is direct variation.
- After 4.5 seconds, I expect the velocity to be equal to 140 ft/s.
- The amount of time required for the object to attain a speed of 100 ft/s is 3.2 seconds.
Read more on graphs here: brainly.com/question/25875680
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Complete Question:
Plot a graph for the following data recorded for an object falling from rest
a. What kind of a curve did you obtain?
b. What is the relationship between the variables?
c. What do you expect the velocity to be after 4.5 s?
d. How much time is required for the object to attain a speed of 100 ft/s?