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scZoUnD [109]
3 years ago
11

Two objects are moving along separate linear paths where each path is described by postion, d, and time, t. The variable d is me

asured in meters and the variable t is measured in seconds. The equation describing the graph of the postion of the first object with respect to time is d=2.5t+2.2. The graph of the the position of the second object is a parallel line passing through (t=0,d=1). What is the equation of the second graph.
A) d=2.5t+1
B) d=-0.4t+1
C) d=2.5t+3.2
Mathematics
2 answers:
Brums [2.3K]3 years ago
6 0

Linear equation:  d = m t + b

If the graph of the position of the second object is parallel to d = 2.5 t +2.2, than m = 2.5

t = 0, d = 1

1 = 2.5 · 0 + b

b = 1

Answer: A ) d = 2.5 t + 1

Also correct on Plato :) , just scored a 100%

fiasKO [112]3 years ago
3 0
Linear equation:  d = m t + b
If the graph of the position of the second object is parallel to d = 2.5 t +2.2, than m = 2.5
t = 0, d = 1
1 = 2.5 · 0 + b
b = 1
Answer: A ) d = 2.5 t + 1
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100 % if my grade and giving brainliest if answered correctly please helppp im failing
Gennadij [26K]

Answer:

Hope I'm not too late for this...

(look below)

Step-by-step explanation:

For the first part:

1. b = -1, m = 2

The y-intercept (b) is the value of y when x = 0. In this case, we can see that when x = 0, y = -1 so the y-intercept is -1.

The slope was found using the equation slope (m) = (y2-y1) / (x2-x1) and two points. (Note, you can choose any two points, I just chose the first two.)

(5,9) (-2,-5)

slope = (y2-y1) / (x2-x1)

slope = (-5-9) / (-2-5)

slope = -14/-7

slope = 2

I used the same steps as shown above:

2. b = 2, m = -3

For the second part:

1. y = 2x - 1

2.y = -3x + 2

I basically plugged in the values for m and b into the equation, y = mx + b.

Graphs:

The way to graph a line is to plot at least two points and draw a line through them. You can graph it using either the equation or the table. I used the table since it is much easier to find the points that I need.

Below I have included references to what the graph should look like if you need to check your work.

The one in blue is for the equation y = 2x - 1. This should help you get a visual of what the correct graph looks like.

The one in green is for the equation y = -3x + 2.

I hope this helped!

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Setup
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