This was the question: Explain why the formula for determining slope using the coordinates of two points does not apply to vertical lines.

The formula for determining a slope using two points does not apply to vertical lines simply because dividing by 0 is not allowed…undefined. To find a slope of a horizontal line we use the formula m= y1-y2/x1-x2: this specifies that we have two points to work with.
Vertical lines are in the form of x=some number, such as x=6; When a line involves an undefined slope the line is vertical, and when a line is vertical you will end up dividing by 0 if you try and evaluate the slope using points (-4,5) and (8,-5):
m= (5)-(5)/ (8)-(-5) =0/-13; undefined
All the points on a vertical line hold the same x coordinate, so x1= x2 and the denominator of the slope formula is zero. For that reason, the slope is undefined because division by zero is not allowed.
Vertical lines have undefined slopes. Thus, the concept of slope simply does not work for vertical lines. A slope of 0=horizontal,
According to page 530 of the text” any two points on a vertical line have the same x coordinate, thus the change in x is always 0, always undefined.

Is this right? If so, do you have any suggestions to make it less wordy and redundant.

  1. 👍
  2. 👎
  3. 👁
  4. ℹ️
  5. 🚩
  1. A quick look, I just need to know if this was answered correctly?

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math

    Mulitple Choice Find the slope. A coordinate graph shows a line through 2 points. One point has coordinates negative 3 comma 3. The other point has coordinates 1 comma negative 5. A. 2** B. –one-half C. –2 D. one-half Use the

  2. Math

    Write an equation of the line that passes through the given points. (-1,5) and (2,-7) The equation is ___. Here's what, I did: Slope = rise/run = y2 - y1/ x2 - x1, where x2 - x1 # 0 Substitute the coordinates of the points into

  3. slope

    Find the slope of the line passing through the given points using the slope formula. Enter the slope in simplest form. Describe the slope as positive, negative, zero, or undefined. (8,2) and (15,9) my answer = 1 the slope is

  4. geometry

    1. Which of the following is the correct equation for the Pythagorean Theorem, where a and b are the side lengths and c is the length of the hypotenuse? A. (a-b)^2=c^2 B. a^2-b^2=c^2 C. a^2+b^2=c^2 ******* D. (a+b)^2=c^2 2. Given

  1. math

    Polygon MNOPQ is dilated by a scale factor of 0.8 with the origin as the center of dilation, resulting in the image M′N′O′P′Q′. The coordinates of point M are (2, 4), and the coordinates of point N are (3, 5).The slope

  2. Math

    a) Explain the relationship between the axis of symmetry and the quadratic formula. b) We know that the quadratic formula can be used to determine the roots of a quadratic function. However, the quadratic formula also reveals how

  3. Algebra

    1. Look at the graph {Can't show graph but coordinates are (-1,-2) and (2,1)} The slope of the line is ______. A. Positive * B. negative C. zero D. undefined 2. Find the slope of the line. {coordinates (1,-2) and (3,2)} A. -2 B. 2

  4. geometry

    prove: the segment joining the midpoints of the two sides of a triangle is parallel to the third side. the coordinates are A(0,0)B(a,0)on the the x axis, and C(c,d), M is midpoint and the coordinates of M is (c/2,d/2) and N is

  1. Statistics

    6)You are given the information that P(A) =0.30 and P(B) =0.40 (a) Do you have enough information to compute P(A or B)? Explain.(events A and B are mutually b) If you know that events A and B are mutually exclusive , do you have

  2. chemistry

    this is for a lab - determining the chemical formula of a hydrate. suppose the hydrate was heated too quickly and some of it was lost of spattered out of the container. explain how hthis would effect a) the calculated percent by

  3. Calculus

    For the function ƒ(x) = x2 find the slope of secants from the point (2, 4) to each of the following points. (3, __ ) (2.5 , __ ) (2.1 , __ ) (2.01, __ ) (2.001, __ ) Using the pattern from question 1, what do you think the slope

  4. algebra

    What is the slope of a line through (-5,2) and (6,7) in the standard(x,y) coordinate plane? Sorry, I forgot the choices F.9 G.5 H.-5 J. 5/11 K. -5/11 The main reason i can't figure this out is because I can't remember the slope

View more similar questions or ask a new question.