A line passes through the point (-6,7) and has a slope of -4/3. Write an equation in slope-intercept form for this line.
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The slope of the given line is -6, so your perpendicular line will have slope 1/6. The point-slope form of the equation of a line can be used.
.. y = (1/6)(x -12) -3
This can be simplified to
.. y = (1/6)x -5
.. y = (1/6)(x -12) -3
This can be simplified to
.. y = (1/6)x -5