Question

Find the distance between the lines with equations 5x+8y-3=0 and y=-5/8x-8

Answer 1

@savannahrose

To solve this problem, you'll need to perform the following steps:

1. Understand that both lines are parallel. Expressing both lines in y-intercept form y = mx + b will reveal that both lines have the same slope and therefore are parallel to each other.

2. Find the equation of the perpendicular line. Remember, the slope of the equation of the perpendicular line will be the negative reciprocal of the slope of the given parallel lines.

3. Find the two intercept points.

4. Then use the distance formula to find the distance between the two points.

Tag me if you need further assistance with this.