Question

What is the equation of the line that passes through the point (6,14) and is parallel to the line with the following equation?

y = -4/3x - 1

A. y = 3/4x + 20

B. y = -4/3x + 22

C. y = -4/3x + 6

D. y = 3/4x + 8

Answer 1

Answer:

B. y = -4/3x + 22

Step-by-step explanation:

y = -4/3x - 1

slope = -4/3

as the lines are parallel they have the same slopes

the required line passes through (6,14)

using slope point form

y - y1 = m(x - x1)

y - 14 = -4/3 (x - 6)

3y - 42 = -4x + 24

y = -4/3 x + 22

Answer 2

Step-by-step explanation:

Option C is the correct answer.

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