WILL GIVE BRAINLIEST IF THE ANSWER IS RIGHT! The equation of a line is y = 2x + 3. What is the equation of the line that is parallel to the first line and passes through (2, –1)? A. 4x – 2y = –6 B. y = 2x – 5 C. y = 3x + 4 D. 2x + y = –1

QUESTION POSTED AT 01/06/2020 - 02:44 PM

Answered by admin AT 01/06/2020 - 02:44 PM

If it's a parallel line, the slope would be the same, which would be 2. This opts out C). We can change A) and D) to slope intercept form first to see what their slopes are:

A) 4x - 2y = -6
    -2y = -4x = -6
     y = 2x + 3

D) 2x + y = -1
     y = -2x - 1

D) can be opted out.

That leaves us with A) and B)

Plug the points (2, -1) in B:

-1 = 2 * 2 - 5

-1 = -1

Therefore, B) is the correct answer.
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