Answer:
y = (-4/3)(x +4) +4
Step-by-step explanation:
Between the given points, the "rise" is -8 and the "run" is 6. The rise/run ratio is then -8/6 = -4/3. So, a version of the point-slope equation can be written:
y = m(x -h) +k . . . . . . . line with slope m through point (h, k)
y = (-4/3)(x +4) +4
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<em>Comment on the answer</em>
The image asks for "an equation", which seems to allow for <em>any</em> equation format. The equation shown above can be put into other forms.
y -4 = -4/3(x +4) . . . . different point-slope form
y = -4/3x -4/3 . . . . . . slope-intercept form
4x +3y = -4 . . . . . . . . standard form
4x +3y +4 = 0 . . . . . . general form
x/(-1) +y/(-4/3) = 1 . . . . intercept form
