Writing Equations of Lines
Use the graph to move points around. If you hit check equation, it will give you the equation. Please play around with it and notice what you can do to make the equation change! You will need to do the questions below by hand, and then check with the graph!
Slope intercept form( y=mx+b )
In slope intercept form what is m?
In slope intercept form, what is b?
What happens if b increases?
What happens if m is negative?
What happens if m is a fraction?
Write an equation with 3 as a slope and 5 as the y-intercept.
Write an equation with -2 as a slope and -3 as the y-intercept.
What is the slope of line y=3x+4
What is the slope of (-2, 4), (4, 2)
Describe the difference between these lines. y=3x+4 and y=3x-4
Write in point form, the y-intercept of y=8x+9. (Hint: (x, y) )
Describe the difference between y=2x and y=2x+4. How do they differ on a graph?
assignment
Work through these problems and discuss how to do them, plus why we might need this for our shortest distance problem
Writing equations from graphs and two points