Question

Line m passes through the points (-4, 3) and (-4, 7). What is the slope of the line that is parallel to line m? Show all of your work for full credit.

Answer 1

Answer: undefined

Step-by-step explanation:

The slope of a line passing through two points P(a,b) and Q(c,d) is given by :-

$\text{Slope}=\dfrac{d-b}{c-a}$

The given points :  (-4, 3) and (-4, 7)

Then , the  slope of a line passing through two points  (-4, 3) and (-4, 7) is given by :-

$\text{Slope}=\dfrac{7-3}{-4-(-4)}=\dfrac{4}{-4+4}\\\\\Rightarrow\text{Slope}=\dfrac{4}{0}\\\\\Rightarrow\ \text{Slope}=\infty$

Since , the parallel have the same slope  .

Therefore, the slope of the line that is parallel to line m is undefined.

Answer 2

M = (y2 - y1)/(x2 - x1)
m = (7 - 3)/(-4 - - 4)
m = 4/0 = undefined slope Vertical line
A line parallel to a vertical line will also have an undefined slope.