SOLUTION: can you help me answer this :) Given; L1: 2x+4y-8=0 and L2: 2x+3y-16=0 A. Find the distance between L1 and L3: x+2y-4=0 B. What is the general equation of the line wit slope equ

Question 720879: can you help me answer this :)
Given; L1: 2x+4y-8=0 and L2: 2x+3y-16=0
A. Find the distance between L1 and L3: x+2y-4=0
B. What is the general equation of the line wit slope equal to 1/3 the slope of L2 and which passess through the intersection of L1 and L2?
C. What is the general equation of the line perpendicular to L1 and which passes through x-intercept of L2.
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Guidance for question #A:

Pick any point on L1. Find the line through this point and perpendicular to L1. The line found this way should be expected to intersect with line L3. Find this point of intersection, using whatever method you wish, since you'll work this with two simultaneous linear equations. Substitution, elimination, simple matrix, your choice which.
NOW, use the distance formula to find the distance between these two points.
RELATED QUESTIONS
L1 is the straight line 2x+3y+6=0. without finding the gradient of L1, find the equation... (answered by josgarithmetic)

Here's a problem that I have no idea where to start or how to continue. Given the... (answered by Fombitz)

Two lines L1 :2y-3x-6=0and L2 :3y+x-20=0 intersect at point A. A third line L3 is... (answered by MathLover1,Alan3354)

Two lines L1: 2y-3x-6=0 ad l2: 3y+x-20=0 intersect at a point A. A third line L3 is... (answered by Theo)

Two lines L1 :2y-3x-6=0and L2 :3y+x-20=0 intersect at point A. A third line L3 is... (answered by Boreal)

can someone please help me with this problem Draw l1 through (-4, 0) and (0, 6).... (answered by solver91311,ankor@dixie-net.com)

Please help me solve this: The equation of line l1 is 2y−5x−1 = 0. Line l2 is... (answered by josgarithmetic)

Two lines L1: 2y-3x-6=0 ad l2: 3y+x-20=0 intersect at a point A. Another line L4 is... (answered by Theo)

Draw L1 through (-4, 0) and (0,6). What is the slope of any line parallel L1? Draw L2... (answered by checkley71)