From 0a1486315b24a69d96069127786fa19f5ea25343 Mon Sep 17 00:00:00 2001 From: James Su Date: Mon, 6 May 2019 18:13:17 +0000 Subject: [PATCH] Update Final_Exam_Study_Sheet.md --- Grade 9/Math/MFM1P1/Final_Exam_Study_Sheet.md | 37 +++++++++++++++---- 1 file changed, 30 insertions(+), 7 deletions(-) diff --git a/Grade 9/Math/MFM1P1/Final_Exam_Study_Sheet.md b/Grade 9/Math/MFM1P1/Final_Exam_Study_Sheet.md index 2e84b20..00d72f6 100644 --- a/Grade 9/Math/MFM1P1/Final_Exam_Study_Sheet.md +++ b/Grade 9/Math/MFM1P1/Final_Exam_Study_Sheet.md @@ -340,20 +340,18 @@ ## Interpreting Scatter Plots - - A scatterplot graph is there to show the relation between two variables in a table of values. - A line can be drawn through the most concentrataed points, to show a trend. +- - Given a value, to find the other value, use follow the line that the dot is on and check the value on the other axis. For example, if a point is on `(1, 2)`, if you are given `2`, to get `1`, just following the vertical line to find the corresponding number on the `x-axis`. - - ## Line Of Best Fit - +- A line that represents the `trend` in a graph. ### How To Find The Line of Best Fit - 1. Find two points **```ON```** the ```line of best fit``` - 2. Determine the ```slope``` using the two points - 3. Use ```point-slope form``` to find the equation of the ```line of best fit``` + 1. Simply draw the line according to the properties of the line below. + 2. Use a ruler when drawing the line. + 3. Make sure the line of best fit represents the trend. - ### Properties Of Line Of Best Fit - Shows the trend for the data in a scatter plot. - Shows the pattern and direction of the data points. @@ -361,6 +359,13 @@ - Remaining points should be grouped equally above and below the line and spread out along the line. - Helps make predictions for values not actually recorded and plotted. +## Curve Of Best Fit +- A curve that represents the `trend` in a graph. +### How To FInd The Curve Of Best Fit + 1. Simply draw a curve that connects all the points. + 2. You can also use an online graphing calculator, like [DESMOS](https://www.desmos.com/calculator). + + ## Time - Distance Graph - Time is the independent variable and distance is the dependent variable - You can't go backwards on the x-axis, as you can't go back in time @@ -374,3 +379,21 @@ 2. ```going away from home``` 3. ```stop``` +## Graphing Linear Relations +- A linear relation is a `straight line`. + +### Graphing Using Table Of Values +- To graph the relation, first look at the `Table of Values`. +- Then decide which columns are the x and y axis. +- Then do a scatter plot/graph, where the numbers are the points. +- Example: + - Given the table of values: + - |Hours Worked|Pay in dollars| + |:--|:-----| + |3|100| + |6|200| + |9|300| + |12|400| + - 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. + - + \ No newline at end of file