Slope = rise over run = the change in y over the change of x
if you want it to be exactly 2, then you have to make sure the equations are proportional.
-5 - y / 6-1
so you simplify it -5-y/ 5
the answer needs to be 2 times 5,
2 x 5 = 10, so you need to add 5 because that's what you subtract from it in the end.
y = 15
The rate of change of the distance from the particle to the origin at this instant is 3 units per second.
<h3>What is the rate of change?</h3>
The instantaneous rate of change is the rate of change at a particular instant.
A particle is moving along the curve

The rate of change of y is given as:
dy / dx = 2
by differentiating both sides,

From the question, we have:
(x, y) = (5,24)
Substitute 5 for x and dy / dx = 2

Hence, the rate of change of the distance from the particle to the origin at this instant is 3 units per second.
Read more about rates of change at:
brainly.com/question/13103052
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Answer:
The table represents a linear function because the rate of change is constant or all the points lie on a straight line.
Step-by-step explanation:
From the given table it is noticed that the line passing through the points (2,5), (4,10), (6,15) and (8,20).
The slope of the line is
m= y2-y1/x2-x1 = 10-5/4-2 = 5/2
The slope of line is . It means the value of y increased by 5 if the value of x increased by 2.
From the given points we can noticed that the value of y increased by 5 if the value of x increased by 2. So, the function has same slope for any two points.
Since the rate of change (slope) is same for all points, therefore the table represents a linear function.
If we plot these points on a coordinate plane and connect then we get a straight line. I means it is a linear function.
Answer:
-2 degrees Celsius.
Step-by-step explanation:
15 - 17 = -2
Answer:
51
Step-by-step explanation:
Divide 153 by 3 and you get 51