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Update Final_Exam_Study_Sheet.md
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## Line Of Best Fit
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## Line Of Best Fit
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- A line that represents the `trend` in a graph.
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- A line that represents the `trend` in a graph.
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### How To Find The Line of Best Fit
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### How To Find The Line of Best Fit
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1. Simply draw the line according to the properties of the line below.
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1. Simply draw the line according to the properties of the line below.
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2. Use a ruler when drawing the line.
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2. Use a ruler when drawing the line.
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3. Make sure the line of best fit represents the trend.
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3. Make sure the line of best fit represents the trend.
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### Properties Of Line Of Best Fit
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### Properties Of Line Of Best Fit
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- Shows the trend for the data in a scatter plot.
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- Shows the trend for the data in a scatter plot.
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## Curve Of Best Fit
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## Curve Of Best Fit
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- A curve that represents the `trend` in a graph.
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- A curve that represents the `trend` in a graph.
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### How To FInd The Curve Of Best Fit
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### How To FInd The Curve Of Best Fit
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1. Simply draw a curve that connects all the points.
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1. Simply draw a curve that connects all the points.
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2. You can also use an online graphing calculator, like [DESMOS](https://www.desmos.com/calculator).
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2. You can also use an online graphing calculator, like [DESMOS](https://www.desmos.com/calculator).
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## Time - Distance Graph
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## Time - Distance Graph
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- First label the x and y axis, since time is the **independent variable**, the `Hours Worked` will be `x-axis`. The `Pay in dollars` will be our y-axis.
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- First label the x and y axis, since time is the **independent variable**, the `Hours Worked` will be `x-axis`. The `Pay in dollars` will be our y-axis.
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## Graphing Non-Linear Relations
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- Plot the points in a scatter plot.
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- Use one smooth curve to connect all the points.
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# Unit 7: Linear Relations
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- Cartesian Coordination System: its a coordinate system that has 4 grids, with x and y values.
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- <img src="https://ourvirtualclass.edublogs.org/files/2017/03/5rWa4At7ZCqwqxM2qG1jgFfM-29qxgiw.png" width="300">
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- `Direct Variation`: A line that passes through or from the `origin`. Simply put, there is a point where the x and y values both equal to 0.
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- `Partial Variation`: A line that does not pass through or from the `origin`. Simply put, there isn't a point where the x and y values both equal to 0.
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## Recognizing Linear Relations
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- Use either `table of values` or a graph to determine it.
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- If the `first differences` in the table of value is constant, it is a linear relation.
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- If the line that connects all the points is a straight line, it is a linear relation.
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## Average Speed As Rate Of Change
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- $` \text{average speed} = \frac{\text{Distance Traveled}}{\text{Time Taken}}`$
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- The average speed, is simply equal to the rate of change.
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## Solving Equations
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- `Equation`: When the alegebraic expression are set to equal to each other.
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- `Variable`: A number that can change (varies) $`\rightarrow`$ unknown.
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- `Constant`: A number that always stays the same (doesn't vary).
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- `To solve an equation is`: fidn the value of the variable (unknown), so that the left side of the equation and the right side of the equation are equal.
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### Tips
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- Remember if you do something to one side, you must do it to the other.
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- Make sure to flip the negative/positive sign when moving an value to the other side.
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## Deteriming Values in a Linear Relation
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### Steps
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1. Enter the data given in the question into this table.
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2. Graph the data, Join the points with a line.
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3. Determine the rate of change.
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4. Extend the line on the graph to the left until it intersects the vertical axis.
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5. Simply use the graph, by either looking at the x or y axis to solve the questions that are given.
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## Two Linear Equations
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- Plot the points and draw the lines for all the equations.
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- The point where they intersect is called the point of intersection, and is when the equations equal to one another (the x and y values).
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- In terms of money, the less steep the line, the better the deal is.
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## Unit 8: Polynomials
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