Line u passes through points (10, 10) and (3, 1). Line v is perpendicular to u. What is the slope of line v?
The slope of line u can be found using the formula:
m = (y2 - y1) / (x2 - x1)
m = (1 - 10) / (3 - 10)
m = -9 / -7
m = 9/7
Since line v is perpendicular to line u, the slope of line v is the negative reciprocal of the slope of line u.
So, the slope of line v is -7/9.
To find the slope of line v, we first need to find the slope of line u.
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 u, the two given points are (10, 10) and (3, 1).
Using the formula, the slope of line u is:
slope_u = (1 - 10) / (3 - 10)
= -9 / -7
= 9/7
Since line v is perpendicular to line u, the slope of line v will be the negative reciprocal of the slope of line u.
Therefore, the slope of line v is:
slope_v = -1 / slope_u
= -1 / (9/7)
= -7/9
Hence, the slope of line v is -7/9.
To find the slope of line v, we first need to find the slope of line u since line v is perpendicular to u. We can use the slope formula, which is given by:
m = (y2 - y1) / (x2 - x1)
Given that (10, 10) and (3, 1) are points on line u, we can substitute these values into the slope formula:
m = (1 - 10) / (3 - 10)
Simplifying further, we get:
m = -9 / -7
The negative sign cancels out, so the slope of line u is 9/7. Since line v is perpendicular to line u, the slope of line v will be the negative reciprocal of that of line u.
Therefore, the slope of line v is -7/9.