find the slope of any line perpendicular to the line through points (6,7) and (5,8).
a)-1
b)1
c)0
d)undefined
y2-y1/x2-x1 = slope
So...(8-7)/5-6) = 1/-1 = -1
The slope perpendicular to that would be the negative reciprocal of -1, which is 1.
Therefore, the slope is 1.
To find the slope of any line perpendicular to another line, you can use the concept that two perpendicular lines have slopes that are negative reciprocals of each other.
First, find the slope of the line passing through the points (6,7) and (5,8) using the slope formula:
slope = (y2 - y1) / (x2 - x1)
Given the points (6,7) and (5,8), we have:
slope = (8 - 7) / (5 - 6) = 1 / -1 = -1
The slope of the given line is -1.
To find the slope of a line perpendicular to this line, take the negative reciprocal of the slope. The negative reciprocal of -1 is 1.
Therefore, the slope of any line perpendicular to the line passing through the points (6,7) and (5,8) is 1.