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2 years ago

What is the slope of a line with the following points

Mathematics

1 answer:

mars1129 [50]2 years ago

5 0

Use the slope formula to find the slope of a line given the coordinates of two points on the line. The slope formula is m=(y2-y1)/(x2-x1), or the change in the y values over the change in the x values.

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In this exercise, we estimate the rate at which the total personal income is rising in the Richmond-Petersburg, Virginia, metrop

babymother [125]

Answer:

The rate at which the total income is increasing is$1627415600

Step-by-step explanation:

From the given data

Population in the area=P=961400

The rate of increase in population=dP/dt=9200

The Average Income=I=$30593

The rate of increase in Average Income=dI/dt=$1400

Now the total income is given as

Total Income=TI=PI

So the rate of increase of total personal income is given as $\frac{d}{dt}(PI)$

From the product rule of derivatives

$\frac{d}{dt}(P*I)=I*\frac{dP}{dt}+P*\frac{dI}{dt}$

Here

I is the Average Income which is given as $30593

dI/dt is the rate of increase of income which is given as $1400.

P is the population of the area which is given as 961400

dP/dt=9200 is the rate of increase of population which is given as 9200

By substituting the values,

$\frac{d}{dt}(P*I)=I*\frac{dP}{dt}+P*\frac{dI}{dt}\\\frac{d}{dt}(P*I)=30593*9200+961400*1400\\\frac{d}{dt}(P*I)=\$1627415600$

So the rate at which the total income is increasing is$1627415600

8 0

3 years ago

A line contains the points (-4,5) and (3,-9). Write the equation of the line using slope-intercept form..please hurry

kotegsom [21]

Answer:

y= -2x-3

Step-by-step explanation:

Using the slope intercept form we have to first find the gradient of the line.

m=(y₂-y₁)/(x₂-x₁)

y₁=5

y₂=-9

x₁=-4

x₂=3

Therefore, m= (-9-5)/(3--4)

=-2

Therefore if we pick any point on the line, say, (-4,5) we obtain the same slope.

(y-5)/(x--4)=-2

(y-5)/(x+4)=-2

y-5=-2(x+4)

y-5=-2x-8

y= -2x-3

Thus the equation of the line in the slope intercept form is: y= -2x-3

4 0

3 years ago

I only need help with 15,16,17,18 please help me

blagie [28]

Okay, so to find like denominators you need to find a number that both denominators go into. For 15, they both go into 45. 9 goes in 5 times and 15 goes in 3 times. So multiply their numerators by 5 and 3. It would be 25/45 for 5/9 and it would be 12/45 for 4/15. Do the same for 16 and 17, for 16 they both go into 42 and for 17 they both go into 42.

7 0

3 years ago

Read 2 more answers

Can someone help with this problem 19r+1=20 need help

valkas [14]

Answer:

r = 1

Step-by-step explanation:

We need to isolate r, so first subtract 1 from both sides to get 19r = 19. Divide both sides by 19 to get r = 1

5 0

2 years ago

What would the graph of y=x look like name three ordered pairs

nirvana33 [79]

That is called the identity line

x=y
y=x

some points are
(1,1)
(2,2)
(0,0)
(z,z)
(π,π)
as long as the 2 numbers are same, it's on the graph

it looks like a diagonal line that goes from bottom left corner to top right corner
makes 2 triangles

6 0

3 years ago