The Equation of A Line
The Equation of a Line
Table of Contents
- Revision of Slope
- 6Q Quiz: Slope of a Line
- Slopes of Parallel and Perpendicular Lines - Discovery & Assessment: Quick Demo
- Equation of a Line
- The Equation of a Line y=mx+c
- Writing the Equation of a Line (I-VA)
- Copy of Parallel and Perpendicular Lines
- Equivalent Linear Equations
- Plot a Line
6Q Quiz: Slope of a Line
[b]Directions:[/b][br][br]1) Determine the slope of the line.[br]2) Enter this slope as a ratio in the white text-box provided. After doing so, click "Check Answer".[br][br]3) [color=#ff00ff][b]If you enter a correct ratio, you'll see a big "Correct!" sign appear. [/b][/color] [br] If your ratio is not correct, keep trying until you're able to enter this slope correctly. [br] If you need a refresher, [url=https://www.geogebra.org/m/Xutr9rPj]click here[/url].
The Equation of a Line y=mx+c
In this activity we want to see how the equation of a line written in the form y=mx+c relates to the graph of that line.
[br][br]In the applet below we have sliders [b][color=#ff0000]m[/color][/b] and [b][color=#ff0000]c[/color][/b]. Changing there value results in a change to the line plotted and its equation written below the sliders. [br][br]Move the sliders, paying attention to what happens to the graph and the corresponding equation. [br]Then answer the questions below.
Move the sliders to create new functions.[br]Pay attention to the intercepts.[br]
Y- Intercept
What do you notice about the y- intercept on the graph? (How does it relate to the corresponding equation?)
m
What effect does changing the 'm' slider have on the graph and its equation?
m is the ________ of the line.[br][br]What is the missing word?
If given the equation of the line but not its graph, explain how you could find the y-intercept.
A graph of a line has a slope of -4 and a y-intercept of 5.
What is its equation?