Help me please:) I don’t understand this question

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  3x -4y = 12

Step-by-step explanation:

There are a number of different forms of the equation of a line. A few are ...

  y = mx + b . . . . slope-intercept form

  y -k = m(x -h) . . . . point-slope form

  x/a +y/b = 1 . . . . intercept form

  ax +by +c = 0 . . . . general form

  ax +by = c . . . . standard form

In "standard form", the coefficients a, b, c are mutually prime integers (have no common factors) and the leading coefficient (usually, 'a') is positive.

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Given this graph, there are several ways to get to a standard form equation. Perhaps the quickest is to start with intercept form. We can see from the graph that the x-intercept is 4 and the y-intercept is -3. So, we can write the equation of the line in intercept form as ...

  x/4 +y/(-3) = 1

Multiplying this by 12 clears the fractions and gives us standard form:

  3x -4y = 12

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step-by-step explanation: