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3 years ago

Write in standard form of the equation of the line through the given points: through (2,2) and (-5,3)

Mathematics

1 answer:

Inessa05 [86]3 years ago

7 0

Answer:

y = -1/7 x + 16/7

Step-by-step explanation:

Write in standard form of the equation of the line through the given points: through (2,2) and (-5,3)

Given the point (2,2) and (-5,3). The standard form of an equation passing through the points is expressed as y = mx+c

m is the slope

c is the intercept

Get the slope

m = y2-y1/x2-x1

m = 3-2/-5-2

m = 1/-7

m = -1/7

Get the intercept. Substitute m = -1/7 and one of the point (2,2) into the expression y = mx+c

2 = -1/7(2) + c

2 = -2/7 + c

c = 2 + 2/7

c = (14+2)/7

c = 16/7

Substitute m = -1/7 and c = 16/7 into the expression y = mx+c

y = -1/7 x + 16/7

Hence the required equation is y = -1/7 x + 16/7

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Answer:

It should be 1/25

Step-by-step explanation:

If you only have those answers then answer D

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3 years ago

What is the slope of the line passing through the points (1, –5) and (4, 1)?

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You are given two points that could be plotted on a graph (1,-5) and (4,1). The formula for slope is y2-y1/x2 -x1

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3 years ago

Check that 2b+b and 3b have the same value when b is 1,2, and 3. Do 2b+b and 3b have the same value for all values of b? Explain

Inessa [10]

Answer:

Expression 2b+b and 3b have same values for all values of b.

Step-by-step explanation:

Given the two expression $2b+b$ and $3b$ and values of b as 1, 2 and 3.

Consider first expression that is, $2b+b$ .

Substituting the value of $b=1$ ,

$2\left(1\right)+\left(1\right)=2+1=3$ ....1

Substituting the value of $b=2$ ,

$2\left(2\right)+\left(2\right)=4+2=6$ ....2

Substituting the value of $b=3$ ,

$2\left(3\right)+\left(3\right)=6+3=9$ ....3

Consider second expression that is, $3b$ .

Substituting the value of $b=1$ ,

$3\left(1\right)=3$ ....4

Substituting the value of $b=2$ ,

$3\left(2\right)=6$ ....5

Substituting the value of $b=3$ ,

$3\left(3\right)=9$ ....6

For value of b=1, equation 1 and equation 4 are same, for value of b=2, equation 2 and equation 5 are same and for value of b=3 equation 3 and equation 6 are same.

Therefore both expression are same for all values of b.

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3 years ago

What is the equation of the line that passes through (6,4) and (4,1)

Murrr4er [49]

Answer:

y = 3/2*x - 5

Step-by-step explanation:

Lets say that P1=(6,4) and P2=(4,1) and that the form of the equation must be y=m*x+b where m is the slope and b the independent variable. Then having two given points we can use the slope formula to find the slope value as:

P1=(x1,y1) and P2=(x2,y2)

slope formula ---> m=(y2-y1)/(x2-x1)

Replacing the given points ---> m=(1-4)/(4-6) = 3/2

then replacing the slope value obtained:

y = 3/2*x + b

Now lets find the value of b. For this we have to replace in the equation a point it can be P1 or P2, i will replace P2:

1 = 3/2*4 + b

1 = 6 + b

1 - 6 = b

-5 = b

therefore the line equation is:

y = 3/2*x - 5

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3 years ago

A beach ball a radius 15 centimeters what is the volume of the beach ball?

sladkih [1.3K]

Answer:

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Volume = 4/3 (3.14 x 3375)

Volume = 14130 cubic cm

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers