Question

Find the distance from P to line L. (Lesson 2101 23. Line L contains points (0, 3) and (-4, -9). Point P has coordinates (-6, -5).

a) 2 units
b) 6 units
c) 10 units
d) 11 units

Answer 1

The distance from point P to line L is 6 units.

Step-by-step explanation:

To find the distance from point P to line L, we can use the formula for the distance between a point and a line. The formula is:

distance = |Ax + By + C| / sqrt(A^2 + B^2)

where (A, B) is the direction vector of the line and (x, y) are the coordinates of the point. In this case, the direction vector is (-4, -12) (obtained by subtracting the coordinates of the two given points), and the coordinates of point P are (-6, -5). Plugging these values into the formula, we get:

distance = |-4(-6) + (-12)(-5) - (-4)(-9) - (-12)(0) + (-4)(3) + (-12)(-4) | / sqrt((-4)^2 + (-12)^2) = 6 units