What is the equation of a line parallel to 3x + 4 =y and passing through (4, -2)?

Question

A. 3x + 10 = y

B. 3x - 14 = y

C. -1/3x - 2/3 = y

D. -1/3x + 10/3 = y

Answer 1

Hi Nana D.,

This kind of question is pretty quick to analyse and answer. For a parallel line, it must have the same slope. You can see that you have already been given the form of mx + b = y for the line-to-be-matched, so to speak. So, since the choices have mx + b = y format, that's all set up for you, right?

So, for the same slope, that value of m must match. Which it does for (a) and (b), but not for (c) or (d).

So, to see which of (a) or (b) it is, plug the given included point coordinates (4, -2) into each of those choices. The equality will be satisfied for one of the choices. That's your answer.

Note: if your choices had various types of line equation format, such as ax + by = c, or ax = b + cy, or various other ones, you would have to convert them into slope-intercept forms, to check them easily.

-- Cheers, --Mr. d.

Answer 2

The right answer is B.

The equation of a new line that is parallel to the given is y = kx + b, where k is the slope of the line. Because this new line is parallel to the line y = 3x + 4, the slope of the new line k = 3.

To find the value of b, we will write the equation for the new line, knowing that it's passing the point with the coordinates: x = 4 and y = - 2.

We have - 2 = 3 x 4 + b.

From this equation we find that b = - 14, hence the new line has equation y = 3x - 14.

Answer: (B)

Answer 3

for the line to be parallel their slopes must be equal. From your equation you can read the slope = 3. If you are a guesser you may see the answer should be either A or B. Use the slope-intercept form of linear equation to find the precise answer. into y = mx + b substitute the given point and slope value to find b

-2=3*4 + b so b = -14

The correct choice is B