The slope of line joining the points (17,-13) and (17,8) is
1 point
1
0
-1
Not defined​

4th option

Step-by-step explanation:

Given:–

The points (17,-13) and (17,8)

To find:–

Find the slope of line joining the points (17,-13) and (17,8) ?

Solution:–

Given points are (17,-13) and (17,8)

Let (x1, y1)=(17,-13)=> x1=17 and y1=-13

Let (x2, y2)=(17,8)=>x2=17 and y2=8

We know that

The slope of line segment joining the points

(x1, y1) and (x2, y2) is (y2-y1)/(x2-x1)

Slope of the line segment joining the given points

=> [8-(-13)]/(17-17)

=> (8+13)/0

=> 21/0

=> Not defined.

Since division with zero is not defined.

Alternative Method:–

Given points (17,-13) and (17,8) are parallel to y-axis.

The y-axis or any line parallel to the y-axis has no defined slope.

Answer:–

The slope of the line segment joining the given points is not defined .

Used formulae:–

• The slope of line segment joining the points
• (x1, y1) and (x2, y2) is (y2-y1)/(x2-x1)

• The y-axis or any line parallel to the y-axis has no defined slope.

• The x-axis or any line parallel to the x-axis has slope is zero.

• Slope is denoted by m .