Question

Create a line parallel to y = 3x - 8 and passes through point (-9, 11).

A. y = 3x - 8
B. y = 3x + 38
C. y = -3x + 38
D. y = -3x - 38

Answer 1

The equation of the line parallel to y = 3x - 8 and passing through (-9, 11) is y = 3x + 38, which is option B.

Step-by-step explanation:

To create a line parallel to the given line y = 3x - 8 passing through the point (-9, 11), you need to use a slope that is identical to the slope of the given line. The slope of the original line is 3. Therefore, the slope (m) of the parallel line must also be 3, to maintain parallelism.

Using the point-slope form of a line's equation, which is y - y1 = m(x - x1), and the point (-9, 11), the equation becomes y - 11 = 3(x + 9). Simplifying this yields y = 3x + 38.

Hence, the equation of the parallel line that passes through the point (-9, 11) is y = 3x + 38, which corresponds to option B.