Question

State the slope of the line.

A: undefined
B: 0
C: –4
D: 1

Answer 1

The slope of the given line is:

Undefined

Explanation:

We are asked to find the slope of a line which passes through the point (-4,0).

Clearly the line is parallel to the y-axis.

i.e. equation of line is:

x= -4

" We know that slope of a line is defined as the ratio of vertical change between the two points to the horizontal change between the same two points "

Here if we consider two points (-4,0) and (-4,2) on the line we see that the slope is given by:

`slope=(2-0)/(-4-(-4))\\\\slope=(2)/(-4+4)\\\\slope=(2)/(0)`

As the slope of the line has the denominator term equal to zero.

Hence, the slope of the line is undefined.

Answer 2

This is a vertical line. The x value does not change

m = (y2-y1)/(x2-x2)

the denominator is 0

which gives us undefined

Choice A