Answer:
The distance between the parallel lines is 0.92
Step-by-step explanation:
Given the two parallel lines:
<h2>4x - 6y + 20 + 0</h2><h2>6x - 9y + 20 = 0 </h2>
To find the distance between the two parallel lines:
- First, we get a point on one of the lines, as follows:
<h2>4x - 6y + 20 = 0</h2><h2>4 (4) + 20 = 6y</h2><h2>36 = 6y</h2><h2>y = 6</h2><h2>(4, 6)</h2>
- 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:
<u>See In Photo</u>
Where:
A = 6
B = -9
C = 20
px = 4
py = 6
Then:
<u>See in 2nd Photo</u>
<u />
Answer:
the distance between the parallel lines is 0.92