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never [62]
3 years ago
6

Write the equation of a line that includes the point (22, 12) and

Mathematics
1 answer:
STatiana [176]3 years ago
7 0

Let's start with y = 4x + b (since 4 is the slope);

We need to find what number should be put instead of b;

Then, let's see what needs to be done;

Plug in the y and x values from the coordinate (22,12) into y=4x+b;

12 = 4(22) + b

Solve;

12 = 88 + b

12 - 88 = b

b = -76

Remember the equation y = 4x + b? Put the -76 instead of b:

y = 4x + -76

or: y = 4x - 76

That is the equation.

To make it standard form, put x and y both in the left side, with x first then y:

-4x + y = -76

^^Answer!

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3 years ago
A) Write the following in standard form and find A, B and C
alex41 [277]

Answer:

  • a)  2x -y = -5; A=2, B=-1, C=-5
  • b)  y = 2x +5

Step-by-step explanation:

a) Standard Form is ...

  Ax + By = C

where A > 0 and A, B, C are mutually prime.

To get that form, we can add 2x-5 to both sides of the equation:

  (2x -5) -2x = (2x -5) -y +5

  -5 = 2x -y

Then we can swap sides of the equal sign:

  2x -y = -5 . . . . . . standard form

Matching this to the generic standard form equation, we find ...

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  B = -1

  C = -5

__

b) We can solve for y by adding 2x+y to both sides of the equation:

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3 years ago
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