# Writing Equations of Lines

- Author:
- Alyssa LaQuay, GeoGebra Materials Team

- Topic:
- Equations

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! The questions below you will need to do by hand, and then check with this graph!

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?