Question

Write an equation of the line parallel to the given line 3x + 4y = 14.​

Answer 1

Answer:

3x+4y=-14

4y=-3x-14

y=-3/4x-14/4

The line perpendicular to it must have slope of 4/3. So we have y=4/3x+b. We plug in the given point (-5, 7) to solve for b.

7=4/3(-5)+b

7=-20/3+b

b=41/3

m+b is 4/3+41/3=45/3=15.