Question

line and passes through the points -4, 3 and -4, 7 what is the slope of the line that is parallel to line and show all your work for full credit

Answer 1

The general form of the line is y = mx + c

where m is the slope and c is y-intercept

Using the given points (-4, 3) and (-4 , 7)

So, the slope will be calculated as following:

$\text{slope}=\frac{7-3}{-4-(-4)}=\frac{4}{-4+4}=\frac{4}{0}$

it is not logic to divide by zero

so, the slope is undefined which mean the line passing through

the points (-4 , 3 ) and (-4 , 7) is parallel to y-axis

and the equation of this line is x = -4

So, slope is undefined