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xenn [34]
3 years ago
8

Given the two points (2,4) and (-3,2), what is the slope of the line that goes through both of these points?

Mathematics
2 answers:
Andreyy893 years ago
5 0
With the formula: m=(y1-y2)/(x1-x2) you can sub in the values to get the slope (m).

m=(4-2)/(2-(-3))
   = 2/5

Therefore the slope is 2/5.
Katyanochek1 [597]3 years ago
4 0
For points (x1,y1) and (x2,y2)
the slope of the line going through those points is
(y2-y1)/(x2-x1)
given
(2,4) and (-3,2)
x1=2
y1=4
x2=-3
y2=2

slope=(2-4)/(-3-2)=-2/-5=2/5
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Which of the following equations is direct variation? Y=2x,y=x+2,y=2,y=-2x-1
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Answer:

y=2x

Step-by-step explanation:

Direct variation is such that y=kx where k is the rate of change.  In direct variation the graph must cross the origin (0,0) meaning that the y-intercept is zero.  The only equation that satisfies the definition of direct variation is y=2x.

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3 years ago
How much interest is earned on $8,000 invested at an annual rate of 12% for 1 year?
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8 0
3 years ago
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3 years ago
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What is the value of the slope of a line with the equation: 20-5x?
alina1380 [7]

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7 0
3 years ago
The birth rate of a population is b(t) = 2300e0.021t people per year and the death rate is d(t)= 1450e0.018t people per year, fi
Cerrena [4.2K]

Answer:

38,674.This area represents the increase in population over a 10-year period.

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When graphed over the interval 0 ≤ t ≤ 10, the birth rate is more than the death rate. This means the area between the two curves is the amount of births subtract the amount of deaths. This results in an area which means the increase of the population.

The birth rate is graphed in green and the death rate is graphed in blue.

To find the area, take the integral of the difference of the functions:

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7 0
3 years ago
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