9514 1404 393
Answer:
3x -4y = 12
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