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Greater than zero, Concept 1 - How to Graph a Line Habiba Elshahawy,…
Greater than zero
Concept 1 - How to Graph a Line
Habiba Elshahawy
Table of Values
Input
Output
Plotting/Graphing
Ordered Pairs
Ordered pairs is the x coordinate and the y coordinate, having two values written within parentheses.
x value
y value
A table of values is a graphic organizer or chart that helps you determine two or more points that can be used to create your graph.
Two Points
Plot given Points
Connecting them to graph the line
One Point and a Slope
Use the slope formula (y=mx+b) to identify the rise and run.
Count out the rise and run
Plot the given point
Connect the points with a line
Using y=mx+b
b = y-intercept
m = slope
Rise
Run
https://youtu.be/yVYJRT5hTSo
:
https://youtu.be/IL3UCuXrUzE
https://youtu.be/K_OI9LA54AA
https://youtu.be/5mgH-_5UJ54
https://youtu.be/5ctsUsvIp8w
Every straight line can be represented by an equation: y = mx + b. The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept. The y-intercept of this line is the value of y at the point where the line crosses the y axis.
Find the Equation of a Line Given That You Know a Point on the Line And Its Slope. The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept. If you a point that a line passes through, and its slope, this page will show you how to find the equation of the line.
Since we know two points on the line, we use the two-point form to find its equation.
concept 3: how to use y=mx+b
Zeinah Abdelshafy
3: how to find the solution
then u use the y-intercept to find the points on the graph by adding it with the result u got from mx.
use m to know the rise/run and to decide the direction of the line is positive or negative by multiplying mx and discovering the sultion of the formula
https://youtu.be/Z65mz__8DQ0
lables
m=slope
b= y-intercept
x= x axis
y= y axis
https://youtu.be/u3spOO-m_Gg
2: types of slopes
their are 4 different types of slopes they all help us know wether the answer would be positive or negative or undefined or just zero those 4 slopes go in dirfrent directions.
positive slope
negative slope
zero slope
undefined slope
https://youtu.be/ZcSrJPiQvHQ
the way of using y=mx+b
you need to find the sulotion by using the instruction and putting them in this type of formula:
https://youtu.be/E5lCvitzOaI
Concept 4: How to write the equation of a line
Dana Abdel Ghaffar
Another way you could write the equation of a line, is if you are given the slope, and the y intercept, but also an equation.
https://www.youtube.com/watch?time_continue=2&v=wvE9-3pHcMo&feature=emb_logo
Till minute 1:26
Those are not the only kinds of equations you'll meet though. You may also get an equation such as: Y = 3x + b, Slope = 4, and Y int = (0,6)
In a case such as that one, you would have to multiply 3x by 4, and add the (0,6) to where its supposed to be.
If you for example had the equation Slope = 4 and Y int. = (0,3), you would need to put that into an equation, and using the rules we know for y = mx + b, the final answer would be y= 4x + 3
In the end, you would get Y= 12x + 6
There are a few ways to write the equation of a line, but first we must figure out what it even is. :
The equation of a line, is the equation of a line is an equation which connects the x and y-coordinates of all points
on the line.
To write the equation of a line, you use the formula
Y = mx + b
In this formula, you write the coordonate, which is usually Y, then you add the slope of the graph, where M is, x is the coordinate, its like a unit, and so it doesnt change. After that, you write the Y intercept where the b is.
You could need to figure out how to use the equation of a line, using a graph.
https://www.youtube.com/watch?v=8TIzQ_16q6w&t=13s
B. After figuring out the slope of the line, you would need to find out the y intercept.
In this case, seeing that the line cuts through -6 at the y axis, makes the y intercept
(also known as b)
-6
A. First of all, you'd need to find the slope of the graph,
(in this case using rise over run)
also known as M.
For example, here,
M= -1/4
C. After finding out the slope, and the Y-intercept, you must put it in the actual equation, which as previously discussed, is Y = mx + b
Since we know that the slope is -1/4, and the y intercept is -6, the final equation would be:
Y = 1/4x - 6
We added the x, because as discussed in 1, its the coordinate, (treat it like a unit)
Concept 2: How to find slope of a line
Tamara Salem
3) From the equation of a line y= mx + b
What is slope-intercept form?
Slope-intercept is a specific form of linear equations. It has the following
general structure.
Y = mx + b
Y: Is the y coordinate of the point
( x,
y
)
M: The gradient / slope
X: Is the x coordinate of the point
(
x
, y)
b: The y intercept point
the point where the straight line meets the x axis
https://www.youtube.com/watch?v=IL3UCuXrUzE
To be able to find the slope intercept equation
we need to have the following requirement:
the slope (m): and we can get it either using rise/ run ( the graph) or from the slope formula (change of y/change of x).
the y intercept: we can get it from the graph or given in the question.
-The slope formula = change of y ( rise) / change of x (run).
we have to follow the following steps to find the slope:
step 1: identify the values of x1, x2, y1, y2
Step 2: Then plug the values to the slope formula to find the slope.
For example, if we have x1 = 2, y1 = 1, x2 = 4
We will plug the values in the formula and the answer will be as followed:
Rise: change of y = y2 - y1
Run: change of x = x2 - x1
The slope formula:
Example:
https://www.youtube.com/watch?v=R948Tsyq4vA
2) Using slope formula (change in y/ change in x)
1) Using rise/run on a graph
Run: the horizontal step (change of x)
Rise: the vertical step (change of y)
https://www.youtube.com/watch?v=SD8Vb8A-kKE
The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run". In other words, for every three units we move vertically down the line, we move four units horizontally to the right. As shown in the following example:
Chapter 13
