Slope Intercept Form: y = mx + b
The variable m is the slope, it explains the steepness of a line of how slanted the line is.
The variable b is the y-intercept, this is where the line crosses or intersects the y-axis.
https://www.desmos.com/calculator
http://www.shmoop.com/video/slope-intercept-form/
Slope: m
- Rise is how far up
- Run is how far along
For more information on slope click here.
Practice Problems
TEST YOUR SELF ON LINES HERE!!!!
https://my.hrw.com/wwtb/api/viewer.pl
Here is a video of slope as a rate of change.
Y Intercept: b
Y intercept is where a straight line crosses the Y axis of a graph.
Example:
In the above diagram the line crosses the Y axis at 1.
So the Y intercept is equal to 1.
For more information on intercepts click here.
Practice Problems
Slope Intercept Form
y = mx + b
m = Slope (how steep the line is)
b = the Y Intercept (where the line crosses the Y axis)\
How do you find “m” and “b”?
- b is easy: just see where the line crosses the Y axis.
- m (the Slope) needs some calculation. Remember to write slope as a fraction.
Example 1)
The fastest and easiest thing to find first when looking at a graph is the y-intercept (b).
Here we see that the line crosses the y-axis at positive 1.
So, b = 1 .
Now to find the slope (m) we will use rise over run:
- Rise is how far up
- Run is how far along
In this example the rise is 2 and the run is 1.
So, m = 2/1 .
Now that I know m = 2/1 and b = 1 I can plug them into the equation for slope intercept form y = mx + b.
y = (2/1) x + 1
^^^^^ This is the equation of the line.
For more information on y = mx + b click here.
Practice Problems
Get your Slope Intercept on!
Math With Mrs. Molina 