Question

Which of the following gives an equation of a line that passes through the point (6/5,-19/5) and is parallel to the line that passes through the rigin and point (-2,-12)?

A. y = 6x - 11
B. y = 6x - 19/5
C. y = 6x - 6/5
C. y = 6x + 1

Answer 1

a. is the correct answer ;)

Explanation:

Answer 2

A = (0, 0)
B = (-2, -12)
y1 = ax + b

A:
0 = 0 · a + b
b = 0
B:
-12 = -2 · a + 0
-12 = -2a
a = 6

y1 = 6x

y1 ║ y
y = cx + d
c = a = 6
y = 6x + d

C = (6/5, -19/5)
C:
-19/5 = 6 · 6/5 + b
-19 = 36 + 5b
5b = -19 - 36
5b = -55
b = -11

y = 6x - 11

Answer A.