Line d passes through points (3, 5) and (8, 8). Line e is perpendicular to d. What is the slope of line e?
The slope of line d is calculated as:
slope_d = (8 - 5) / (8 - 3) = 3 / 5
Since line e is perpendicular to line d, its slope is the negative reciprocal of the slope of line d. Thus, the slope of line e is:
slope_e = -1 / slope_d = -1 / (3 / 5) = -5/3.
Therefore, the slope of line e is -5/3.
To find the slope of line e, we first need to find the slope of line d.
The slope of a line passing through two points (x1, y1) and (x2, y2) is given by the formula:
slope = (y2 - y1) / (x2 - x1)
For line d, the points are (3, 5) and (8, 8).
Using the formula, we can calculate the slope of line d as:
slope_d = (8 - 5) / (8 - 3)
= 3 / 5
Since line e is perpendicular to line d, its slope will be the negative reciprocal of slope_d.
The negative reciprocal of a number is obtained by taking the reciprocal of the number and changing its sign.
Therefore, the slope of line e is:
slope_e = -1 / slope_d
= -1 / (3/5)
= -5/3
So, the slope of line e is -5/3.
To find the slope of line e, we first need to determine the slope of line d. 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)
For line d, the points are (3, 5) and (8, 8). Plugging these values into the slope formula, we get:
slope = (8 - 5) / (8 - 3)
= 3 / 5
Now, since line e is perpendicular to line d, their slopes are negative reciprocals of each other. This means that the slope of line e will be the negative inverse of the slope of line d.
To find the negative inverse of a fraction, we flip the fraction and change its sign. So, the slope of line e will be:
slope_of_e = -1 / slope_of_d
Substituting the value we found for slope_of_d into the equation, we get:
slope_of_e = -1 / (3/5)
= -5/3
Hence, the slope of line e is -5/3.