Slope of a Line
The slope of a line is a measure of its steepness. Slope is the rate of change between any two points on a line.
Slope compares the vertical change to the horizontal change when moving from one fixed point to another along the line.
Types of Slopes:
Slope is typically represented by the letter m.
In Mathematics, the slope of a line is defined as the change in y-values divided by the change in x-values.
If given 2 points on a line, you may find the slope using the formula:
The greater the slope, the steeper the line goes upward.
- Lines that travel up from left to right have positive slopes.
- Lines that travel down from left to right have negative slopes.
- A horizontal line does not go up or down, (y2 – y1 = 0).
Dividing zero by any number will give us a zero, so the slope is 0. - The horizontal line has a slope of zero because its height never changes.
- A vertical line does not run horizontally (x2 – x1 = 0).
Since it is impossible to divide by 0, the slope of a vertical line is undefined.
To find the slope of a line, find the ratio of the change in y to the change in x .
Parallel lines have the same slope.
Real life example:
The ADA [Americans with Disabilities Act] recommends 1 foot for ramp for every one inch of rise. The ramp must have no more than a 1:12 ratio.
Videos:
Slope
Slope from a Table
Slope 3
Graphing with Slope Intercept
Drills:
EQ06 Find_Slope
EQ07 Slope 2 point
EQ08 Slope
EQ09 Slope2
Second Six Weeks
First Six Weeks
Say no to drugs, say yes to life
Previously Published On 5/18/2015
Last week I was very sad to hear that a sixth-year child was caught smoking drugs in the school bathrooms. The next day I learned of an eighth-grader who offered drugs to his classmates. This news worried me a lot, and I had no sleep. Over and over again I wondered to myself, what can I do? What should I do?
Many times, I have seen that some students destroy their lives, their studies, their personal and family relations, as well as any possibility of future success because they fall into the trap of drugs.
Ten years ago, I retired as a teacher of higher education and started teaching math at the middle school level. In the first year, I learned of a similar drug case, and I went to the school authorities to ask what we would do. The answer surprised me: “That’s society, there’s nothing we can do”: I totally disagreed with it. When authority is defeated and does not want to intervene, minimizing and in some cases hiding incidents of this type, it will only aggravate the problem.
Society has placed in the teachers and school authorities the great responsibility of cultivating and caring for the most valuable treasure of all the families and of the nation, this is its young people. We can not turn a blind eye to these problems and ignore them. On the contrary, we should alert parents and raise awareness among young people of the serious dangers of drug addiction. To deny the existence of a problem or to pretend that it does not exist does not solve it; but on the contrary, aggravates it. It is a task for all adults to protect with all our strength, with all our heart, with a clear and determined strategy that protects our students from this serious problem.
If a friend offers you drugs he is not a friend, a good friend does not endanger your life and your future.
Take advantage of this great educational opportunity you have today; your future and that of your family depend on what you do today. Do not make a mistake that you’ll regret all your life
Do you think having a drug-addicted child is what your parents want when they send you to school?
And if you have already fallen into this problem, seek help. Lean on someone you can trust, a close relative, your teachers, school or spiritual counselors. I want to tell you that with will, determination, and perseverance, other people have come out of drugs. There is a thought that I want to share:
“God changes caterpillars into butterflies, sand into pearls and coal into diamonds by using time and pressure. He is working on you too”– Rick Warren.
>>>Good friends do not induce you to drugs<<<
Week 12 Multiply/divide integers
Week 11 Integer Operations + –
Week 10 Models of Integer Operations
Week 09 Divide Fractions
Drill: Divide Fractions
Week 08 Multiply Fractions
DRILL MULTIPLY FRACTIONS