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kozerog [31]
3 years ago
13

(-8, 4), (4, -4) Write in standard form

Mathematics
2 answers:
Serjik [45]3 years ago
7 0

Answer written in standard form:

2x + 3y = -4

crimeas [40]3 years ago
6 0

9514 1404 393

Answer:

  2x +3y = -4

Step-by-step explanation:

The slope of the line is given by the slope formula:

  m = (y2 -y1)/(x2 -x1

  m = (-4 -4)/(4 -(-8)) = -8/12 = -2/3

This can be used in the point-slope formula to find an equation of the line:

  y -y1 = m(x -x1)

  y -4 = -2/3(x -(-8)) . . . . substituting for (x1, y1) and m

Multiplying by 3 eliminated fractions:

  3(y -4) = -2(x +8)

  3y -12 = -2x -16

Adding 2x+12 to both sides gives the standard form equation:

  2x +3y = -4

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Help please!!! I really don’t know how to do this!
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I'm going to do 1 as an example and using what I've taught you, you have to do the rest. Hope my explanation helps.

Step-by-step explanation:

We are given the points (-2, -4) and (-1, -1)

We need to find the slope.

The equation to do so is y2 - y1 / x2 - x1

lest say:

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3/1 = 3

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The equation of a line is y = mx + b

For this problem we just have to substitute what we already know.

y = (slope)x + y-intercept

y = 3x + 2

*TIP*

If the y-intercept is negative, let's say: b = -5  (using slope 8)

the equation will be y = 8x - 5

Hope this helps. I wish you all the best. :)

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