Question

Line a is parallel to line b

Line a passes through the points (5,7) and (-1,-2)
Line b passes through the point (10,-4)

The equation of line b is y=?

Answer 1

Line A: y = 3/2x - 1/2 Line B: y = 3/2x - 19

Explanation:

Line a:

y2 - y1 / x2 - x1

-2 - 7 / -1 - 5

-9/-6

= 3/2

y = 3/2x + b

7 = 3/2(5) + b

7 = 15/2 + b

-1/2 = b

y = 3/2x - 1/2

Line B:

y = 3/2x + b

-4 = 3/2(10) + b

-4 = 15 + b

-19 = b

y = 3/2x - 19