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Lesechka [4]
3 years ago
6

If you know a point on a line and you know the equation of a line parallel to this line, explain how to write the line’s equatio

n.
Mathematics
1 answer:
andreyandreev [35.5K]3 years ago
3 0

Answer:

For the given question,the equation of the asked line would be same as that of the line parallel to it but the only difference would be in the constant part.

Step-by-step explanation:

the equtions of the lines (variable parts) would be the same but the constant part will be different according to the point known on the particular line.

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Solve the system of equations. y = -5x + 24 y = 4x - 21 a. ( -5, -1) c. ( -1, 5) b. ( 5, -1) d. No solution
Svetlanka [38]

y = -5x + 24

y = 4x - 21

Since both of these equations are equal to Y, theyre equal to each other.

So we can make an equation with y = -5x + 24 in one side and y = 4x - 21 on the other.

-5x + 24 = 4x - 21

Now in order to get the value of x we need to isolate it in one side of the equation. We can do this by subtracting 24 from both sides of the equation:

-5x + 24 - 24 = 4x - 21 - 24

-5x = 4x - 45

Now we subtract 4x from both sides so the 4x shift to the other side

-5x - 4x = 4x - 4x - 45

-9x = -45

Finally divide both sides by -9 so x is by itself

(-9)÷(-9x) = -(45)÷(-9)

x = 5

Since we did all of this to BOTH sides of the equation, both sides are still equal to each other and the equation still is true.

Now apply x = 5 to either of the initial equations to find the value of Y

y = -5x + 24 or y = 4x - 21

(I'll do both but u only need one)

y = -5(5) + 24

y = -25 + 24

y = -1

y = 4(5) - 21

y = 20 - 21

y = -1

Either way, X is 5 and Y is -1

Answer (5, -1)

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Svet_ta [14]

Answer:

option D. Neither

Step-by-step explanation:

y-4=7(x-6)

using (5,4):

4-4=7(5-6)

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using (6,5):

5-4=7(6-6)

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so option D is the answer

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