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2 years ago

I still dont understand slope can someone help?

Mathematics

2 answers:

katen-ka-za [31]2 years ago

4 0

$m = slope\\(x1, y1) = coordinates of first point in the line\\(x2, y2) = coordinates of second point in the line$

Nitella [24]2 years ago

3 0

Answer:

I don’t know the answer but I can try to help.

Step-by-step explanation:

The slope is the measurement of the steepness of a line, so all you would have to do is find the steepness of the line on that graph.

I hoped this helped :)

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55. TECHNOLOGY

valentina_108 [34]

Considering the expression of a line, the equation for the function that is represented through the points f(0.1) = 11.5, and f(0.4) = -5.9 is y= -58x +17.3.

<h3>Linear equation o line</h3>

A linear equation o line can be expressed in the form y = mx + b.

where

x and y are coordinates of a point.
m is the slope.
b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.

Knowing two points (x1, y1) and (x2, y2) of a line, the slope m of said line can be calculated using the following expression:

$m=\frac{y2-y1}{x2-x1}$

Substituting the value of the slope m and the value of one of the points in the expression of a linear equation, y = mx + b, the value of the ordinate to the origin b can be obtained.

<h3>Equation for the function in this case</h3>

In this case, the function f(x) is represented through the points f(0.1) = 11.5, and f(0.4) = -5.9. This is:

(x1, y1)= (0.1, 11.5)
(x2, y2)= (0.4, -5.9)

So, the slope m can be calculated as:

$m=\frac{-5.9-11.5}{0.4-0.1}$

Solving:

Considering point 1 and the slope m, you obtain:

11.5= -58×0.1 +b

11.5= -5.8 + b

11.5 + 5.8= b

Finally, the equation for the function that is represented through the points f(0.1) = 11.5, and f(0.4) = -5.9 is y= -58x +17.3.

Learn more about the equation of a line having 2 points:

brainly.com/question/12851029

brainly.com/question/19496333

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2 years ago

A car drove 249.48 miles on 12.6 gallons of gas.

slavikrds [6]

Answer:

293.04 miles

Step-by-step explanation:

249.48 miles / 12.6 gallons is a proportion that is given to be true so we look to find an equivalent fraction that has 14.8 gallons in it and that respects this proportion.

7 0

2 years ago

Find the median, first quartiles, third quartiles, and interquartile range of the set of data. 0, 0, 1, 2, 13, 27, 34, 63

alexgriva [62]

Answer:

mean= 17.5

Q1= .5

Q3= 30.5

interquartile= 30

Step-by-step explanation:

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3 years ago

An aquarium sells five stuffed animal sharks for $64.95. What is the cost of eight stuffed animal sharks?

Gekata [30.6K]

$103.92

Process:
64.95/5 = 12.99, 12.99 x 8 = 103.92

8 0

3 years ago

Read 2 more answers

(a)Find all integer solutions to the equation 105x + 83y = 1.

Mashcka [7]

Answer:

(a) (34+83t,-43-105t) where t is an integer

(b) (272+83t,-344-105t) where t is an integer.

Step-by-step explanation:

We are going to perform Euclidean's Algorithm.

Let's begin with seeing how many times 83 goes int 105.

105=83(1)+22 (eq1)

83=22(3)+17 (eq2)

22=17(1)+5 (eq3)

17=5(3)+2 (eq4)

5=2(2)+1 (eq5)

Now let's go backwards through those equations.

5-2(2)=1 (eq5 rewritten so that the remainder was by itself)

5-2[17-5(3)]=1 (replaced the 2 in ( ) with eq4 solved for the remainder)

5-2(17)+5(6)=1 (distributive property was performed)

-2(17)+5(7)=1 (combined my 5's)

-2(17)+7(5)=1 (multiplication is commutative)

-2(17)+7(22-17)=1 (used eq3)

-2(17)+7(22)-7(17)=1 (distribute property was performed)

-9(17)+7(22)=1 (combined my 17's)

-9(83-22(3))+7(22)=1 (used eq2)

-9(83)+22(27)+7(22)=1 (distributive property was performed)

83(-9)+22(34)=1 (multiplication is commutative and combined my 22's)

83(-9)+34(105-83)=1 (used eq1)

105(34)+83(-43)=1 (after distributive property and reordering)

So we have a point on the line being (x,y)=(34,-43).

We can use the slope to figure out all the other integer pairs from that initial point there.

The slope of ax+by=c is -a/b.

So the slope of 105x+83y=1 is -105/83.

So every time we go down 105 units we go right 83 units

This says we have the following integer pairs on our line:

(34+83t,-43-105t) where t is an integer.

Let's verify:

Plug it in!

105[34+83t]+83[-43-105t]

105(34)+105(83)t+83(-43)-83(105)t

105(34)+83(-43)

We are good!

(b)

We got from part (a) that 105(34)+83(-43)=1.

Multiply both sides we get 8 on the right hand side:

105(34*8)+83(-43*8)=8

Simplify:

105(272)+83(-344)=8

So the integer pairs is (272+83t,-344-105t) where t is an integer.

Let's verify:

105[272+83t]+83[-344-105t]

105(272)+105(83)t+83(-344)-83(105)t

105(272)+83(-344)

(c)

Let u=83^(-1) mod 105.

Then 83u=1 mod 105.

This implies:

83u-1=105k for some integers k.

Add 1 on both sides:

83u=105k+1

Subtract 105k on both sides:

83u-105k=1

Reorder:

105(-k)+83u=1.

We found all (x,y) integer pairs such that 105x+83y=1.

We go (34+83t,-43-105t) where t is an integer.

So k=-34-83t while u=-43-105t.

Since we want to find an integer t such that u is between 0 and 104, we could solve 0<-43-105t<104.

Add 43 on all sides:

43<-105t<147

Divide all sides by -105:

-43/105>t>-147/105

-147/105<t<-43/105

This says t is approximately between -1.4 and -0.4 . This includes only the integer -1.

When t=-1, we have u=-43-105(-1)=-43+105=62.

3 0

4 years ago