Question

which line is parallel to the line whose equation is 4x 3y = 7, and also passes through the point (- 5, 2)?

Answer 1

Answer:  [I assume:  "4x 3y = 7" is really 4x + 3y = 7]

y = -(4/3)x -14/3

Step-by-step explanation:

Rewrite this as y=mx+b, where m is the slope.  

4x + 3y = 7

3y = -4x +7

y = -(4/3)x +(7/3)

The slope is -(4/3)

A parallel line will have the same slope, but a specific value of b to allow it to go through the given point (-5,2):

y = -(4/3)x + b

Enter the point and solve for b:

2 = -(4/3)(-5) + b

2 = (20/3) + b

b = 2 - (20/3)

b = 6/3 - 20/3

b = -14/3

y = -(4/3)x -14/3