what is the slope of a line whose graph is parallel to the graph of -6x+y=5? what is the slope of a line whose graph is perpendicular to the graph of -6x+y=5
The equation -6x+y=5 can be rewritten in slope-intercept form (y = mx + b) as y = 6x + 5, where m is the slope of the line.
For a line to be parallel to another line, it must have the same slope. Therefore, the slope of a line parallel to the graph of -6x+y=5 is 6.
To find the slope of a line perpendicular to another line, we take the negative reciprocal of the slope of the given line. The slope of -6x+y=5 is 6, so the negative reciprocal of 6 is -1/6. Therefore, the slope of a line perpendicular to the graph of -6x+y=5 is -1/6.