What is the original slope and perpendicular slope?
(0, 7), (3, 6)
To find the original slope, we need to use the formula for slope:
m = (y2 - y1)/(x2 - x1)
Using the coordinates (0, 7) and (3, 6), we can plug in the values:
m = (6 - 7)/(3 - 0)
= -1/3
Therefore, the original slope is -1/3.
To find the perpendicular slope, we need to find the negative reciprocal of the original slope. The negative reciprocal of -1/3 is 3/1, which simplifies to 3.
Therefore, the perpendicular slope is 3.
To find the slope of the line passing through the points (0, 7) and (3, 6), we can use the formula:
slope = (y2 - y1) / (x2 - x1)
Let's assign (0, 7) as (x1, y1) and (3, 6) as (x2, y2).
x1 = 0
y1 = 7
x2 = 3
y2 = 6
Substituting these values into the formula:
slope = (6 - 7) / (3 - 0)
slope = -1 / 3
So, the original slope of the line is -1/3.
To find the perpendicular slope, we can use the fact that the product of the slopes of perpendicular lines is equal to -1. Therefore, the perpendicular slope will be the negative reciprocal of the original slope.
Perpendicular slope = -1 / (-1/3)
Perpendicular slope = 3
So, the perpendicular slope of the line is 3.
To find the original slope between two points, we can use the formula:
slope = (change in y) / (change in x)
First, we need to determine the "change in y" and "change in x" between the two points provided, (0, 7) and (3, 6).
Change in y = (y2 - y1) = 6 - 7 = -1
Change in x = (x2 - x1) = 3 - 0 = 3
Substituting these values into the slope formula, we get:
slope = (-1) / 3 = -1/3
Therefore, the original slope between the two points is -1/3.
To find the perpendicular slope, we need to remember that the slopes of perpendicular lines are negative reciprocals of each other. In other words, if the original slope is m, then the perpendicular slope is -1/m.
In this case, the original slope is -1/3. So, the perpendicular slope is:
perpendicular slope = -1 / (-1/3) = 3
Therefore, the perpendicular slope is 3.