Question

The equation of the line parallel to y = 3x + 8 that passes through the point (4, 5) is

Answer 1

To answer this question, we need to remember that a line is parallel to another one if its slopes are the same. A line parallel to y = 3x + 8 must has a slope, m = 3.

Now, to find the parallel line, we can use the point-slope form of the line equation as follows:

1. The point for which the line passes through is (4, 5):

`y-y_1=m(x-x_1)`

Then, we have:

(4, 5) ---> x1 = 4, y1 = 5

m = 3

`y-5=3(x-4)\Rightarrow y-5=3x-12`

Then

`y=3x-12+5\Rightarrow y=3x-7`

Therefore, the equation of the line parallel to y = 3x + 8 that passes through the point (4, 5) is y = 3x - 7.