The equation of the line can be written as y = -x - (7/12).
<h3>What is the equation of a line?</h3>
A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of line is given by,
y =mx + c
where,
x is the coordinate of the x-axis,
y is the coordinate of the y-axis,
m is the slope of the line, and
c is y-intercept.
Given that the line passes through (5/12, −1) and (−3/4, 1/6). Therefore, the slope of the line can be written as,
Slope of the line = [(1/6) - (-1)] / [(-3/4) - (5/12)]
= [(1/6) + 1] / [(-3/4) - (5/12)]
= (7/6) / [(-9-5)/12]
= (7/6) / (-14/12)
= -1
Now, the equation can be rewritten with slope and a point as,
y = mx + c
(1/6) = -1(-3/4) + C
(1/6) = (3/4) + C
C = (1/6) - (3/4)
C = (2/12) - (9/12)
C = (-7/12)
Therefore, the equation of the line can be written as,
y = mx + c
y = (-1)x + (-7/12)
y = -x - (7/12)
Hence, the equation of the line can be written as y = -x - (7/12).
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