Answer:
The distance between the parallel lines is 0.92
Step-by-step explanation:
Given the two parallel lines:
4x - 6y + 20 + 0
6x - 9y + 20 = 0
To find the distance between the two parallel lines:
- First, we get a point on one of the lines, as follows:
4x - 6y + 20 = 0
4 (4) + 20 = 6y
36 = 6y
y = 6
(4, 6)
- Once we have a point on a line, we calculate the distance from that point to the other line using the formula for the distance from a point to a line:
See In Photo
Where:
A = 6
B = -9
C = 20
px = 4
py = 6
Then:
See in 2nd Photo
Answer:
the distance between the parallel lines is 0.92
