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Find an equation of the line passing through the pair of points. Write the equation in the form Ax+By=C

Igoryamba

Answer:

Step-by-step explanation:

The standard form of an equation of a line:

$Ax+By=C$

The point-slope form of an equation of a line:

$y-y_1=m(x-x_1)$

m - slope

(x₁, y₁) - point

We have the points (-7, 2) and (-8, -9). Substitute:

$m=\dfrac{-9-2}{-8-(-7)}=\dfrac{-11}{-1}=11$

$y-2=11(x-(-7))\\\\y-2=11(x+7)$

Convert to the standard form:

$y-2=11(x+7)$ use the distributive property a(b + c) = ab + ac

$y-2=11x+77$ add 2 to both sides

$y=11x+79$ subtract 11x from both sides

$-11x+y=79$ change the signs

$11x-y=-79$

7 0

3 years ago

How many solutions does the system of equations below have? x − 4y = 6 2x − 8y = 12

bearhunter [10]

Answer:

x = 4y + 6

Step-by-step explanation:

x-4y=6

2x-8y=12

multiply 2 on both side in equation 1, and multiple - on both side in equation 2:

2x-4x=12

-2x+8y=-12

so the equation becomes:

4y=0

y=0

put the value of y in both of the equations:

x=6 equation 1

x=6 equation 2

so,

x = x

then,

x = 4y + 6 equation 1

-2 ( x - 4y ) = -12

x - 4y = -12/ -2

x - 4y = 6

x = 4y + 6

so the ans is:

x = 4y +6

8 0

3 years ago

Select the postulate that is illustrated for the real numbers 5+(-5)=0

ozzi

In this question , we have to find the postulate that is illustrated for the real numbers

$5+(-5) = 0$

The postulate is Additive inverse postulate which states that

$a+ (-a) =0$

Where a is the real number and -a is the opposite of a. It states that , if opposite of a number is added with the number, the result is 0 .

3 0

4 years ago

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What’s 437727x9018 ?

makvit [3.9K]

3947422086
is the answer hope it helps:)

7 0

3 years ago

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To the nearest hundredth, what is the length of line segment AB ? Drag your answer into the box. The length of line segment AB i

quester [9]

Answer:

B. 10.44 units.

Step-by-step explanation:

We are asked to find the length of line segment AB.

To find the length of line segment AB we will use distance formula.

$\text{Distance}=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Upon substituting the coordinates of point A and B in distance formula we will get,

$\text{Distance between point A and point B}=\sqrt{(1--9)^2+(-1--4)^2}$

$\text{Distance between point A and point B}=\sqrt{(1+9)^2+(-1+4)^2}$

$\text{Distance between point A and point B}=\sqrt{(10)^2+(3)^2}$

$\text{Distance between point A and point B}=\sqrt{100+9}$

$\text{Distance between point A and point B}=\sqrt{109}$

$\text{Distance between point A and point B}=10.4403065089105502\approx 10.44$

Therefore, the length of line segment AB is 10.44 units and option B is the correct choice.

7 0

4 years ago

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