SOLUTION: Find the slope of the line that passes through (10,8),(1,9)

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Question 1205256: Find the slope of the line that passes through (10,8),(1,9)
Found 4 solutions by MathLover1, ikleyn, greenestamps, MathTherapy:
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

the slope of the line that passes through (,),(,)




Answer by ikleyn(52792)   (Show Source): You can put this solution on YOUR website!
.

See the lesson
    - Find the slope of a straight line in a coordinate plane passing through two given points
in this site.

It teaches on how to solve such problems.
From this lesson,  learn the subject once and for all.

As a bonus for you,  consider other closely related lessons in this site
    - Find the slope of a straight line in a coordinate plane passing through two given points
    - Equation for a straight line having a given slope and passing through a given point
    - Solving problems related to the slope of a straight line
    - Equation for a straight line in a coordinate plane passing through two given points
    - Equation for a straight line parallel to a given line and passing through a given point
    - Equation for a straight line perpendicular to a given line and passing through a given point

These lessons are your textbook,  handbook,  tutorials and  (free of charge)  home teacher.


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I'd like to make a comment to the post by @greenestamps.

It is normal process of learning, when millions of students make thousands of errors, when they learn a new subject.
There is nothing catastrophic in it.

A real catastrophe is when they learn NOTHING from their exercises.

Using formulas, making substitutions into formulas and making calculations this way is the most basic skill,
which normal student should master in the school (elementary school, middle school and high school).

Using formulas is the language of Math and many other disciplines, and it should be the same routine
as to print using keyboard, to write using pen/pencil and paper, to speak using English, to fasten a button on a shirt etc.

If a student does not master it in his or her school years, then it is better for him/(for her)
to become a music composer, or a singer, or work at a restaurant, or in health-care, or be a house-wife, or a writer,
or an artist painting walls, or in HOLLYWOOD, but not an engineer, not a designer, not a scientist,
not a researcher, not an IT specialist, even not an accountant, and so on.

In simple and short words: if you develop your mathematical skills enough,
then the professions of the XXI century will be open to you.
If not, then your profession will be of the XX century.

Notice that I do not persuade and don not try to convince - I simply explain how it works in real life.

THEREFORE, my advise is THIS : do not afraid to make thousand or million errors, while you study in school.
Be afraid to learn nothing from it.     It is the  ONLY  thing to be afraid.



Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!


I have seen countless examples of where a student blindly plugs numbers into the textbook formula for finding the slope of a line through two points and gets the wrong answer by plugging the wrong numbers in the wrong places.

Plugging numbers into a formula doesn't help you learn anything. I always encourage students to use an informal common sense method for finding a slope.

Somewhat informally, slope is defined as "rise over run". Even more informally, the slope tells you how much you move up or down as you move 1 unit to the right.

So to find the slope of the line through the two given points, first make sure you are moving from left to right; then determine how far you are moving right (run) and how far you are moving up or down (rise); then find the ratio of rise to run.

The second given point is farther to the left (x=1 is to the left of x=10), so start at (1,9) and move to (10,8). The run (change in x) is from 1 to 10, a difference of 9; the rise (change in y) is from 9 to 8, a difference of -1; so the slope is rise/run = -1/9.

You will understand math better, and enjoy it more, if you use methods that let you see what you are doing, instead of relying on magic formulas.

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It's beyond my understanding why anyone who considers themselves a "teacher" of mathematics would say it is stupid for a student to understand mathematics, instead advocating for teaching the student to do mathematics by plugging numbers into formulas....
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!
Find the slope of the line that passes through (10,8),(1,9)

The CORRECT way to do this problem, as every teacher and text book teaches, is to use the slope
formula, .
NEVER listen to those CRAZY "KNOW-IT-ALLS" who think that they know best, as they know NOTHING at all. It's 
STUPID to tell students MOT to use formulas. Formulas were created for a reason, and should NEVER be pushed
aside. Only an IMBECILE will dissuade students from using them!

With that said, slope of the line that passes through (10,8),(1,9), or .
And, you're DONE!!
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