Find the slope of any line perpendicular to the line through the points (0, 5) and (-3, -4). Show work
Find the slope of the line through the two points:
slope= (y2-y1)/(x2-x1) you do that.
Now the slope of the line perpendicular to this is the negative reciprocal, or
slopeperpendicular= - 1/above slope
To find the slope of the line through the points (0, 5) and (-3, -4), we can use the formula:
slope = (y2 - y1) / (x2 - x1)
Plug in the coordinates: (x1, y1) = (0, 5) and (x2, y2) = (-3, -4):
slope = (-4 - 5) / (-3 - 0)
= -9 / -3
= 3
So, the slope of the line through the two points is 3.
To find the slope of a line perpendicular to this, we take the negative reciprocal of the slope. In this case, the negative reciprocal of 3 is -1/3.
Therefore, the slope of any line perpendicular to the line through the points (0, 5) and (-3, -4) is -1/3.