Line m passes through (2,5) and (-3,-2). Find the slope of a line that is perpendicular to line m.
slope = y2 - y1 / (x2-x1) = 7/5
perpendicular = -1/m
so we have -5/7
To find the slope of a line that is perpendicular to line m, we need to first find the slope of line m.
The slope of a line passing through two points (x1, y1) and (x2, y2) can be calculated using the formula:
slope = (y2 - y1) / (x2 - x1)
Using the given points (2,5) and (-3,-2), we can plug in the values into the formula:
slope = (-2 - 5) / (-3 - 2)
= (-7) / (-5)
= 7/5
So, the slope of line m is 7/5.
To find the slope of a line that is perpendicular to line m, we need to take the negative reciprocal of the slope of line m.
The negative reciprocal of a fraction is obtained by flipping the fraction upside down and changing the sign. For example, the negative reciprocal of a/b would be -b/a.
Therefore, the slope of a line perpendicular to line m would be:
slope of perpendicular line = -1 / (7/5)
= -1 * (5/7)
= -5/7
Hence, the slope of a line that is perpendicular to line m is -5/7.