Slope Slope is represented by the letter m Rise Run Slope =
Where can slope be found in the world?
Quick Reminder Lines rising from left to right have a positive slope
Lines falling from left to right have a negative slope
No Slope= undefined
Finding Slope by counting squares run rise Rise= 3 Run= 2 3 2 Slope=
Practice What is the slope? Find the slope by counting rise over run.
Answer to practice run rise 3 1 Slope= or 3
More Practice What is the slope? Count rise over run.
Answer 5 4 Slope= -
Calculating slope Requires two points (x ,y ) (x ,y ) m= 2 2 1 1 y - y x - x 2 1 2 1
Example (3, -2) (1, -4) y -y (x ,y ) (x ,y ) -4-1 1-3 -5 -2 5 2 1 2 1 1 2 2 = = x - x (3 , -2) (1 , -4) 1 2
Slope Intercept Form y= mx+b m= slope b= y intercept slope y intercept
y intercept The y intercept is where the line crosses the y axis. y axis y intercept y intercept = 2 x axis
y intercept y intercepts can be positive or negative numbers y axis x axis y intercept= +1 y axis x axis y intercept= -2
Graphing Slope Intercept Form Step one: graph y intercept on y axis Step two: from that point use slope to graph second point Step three: connect the points You have now graphed a line using slope-intercept form.
Point-slope Form y- y = m(x-x ) 1 1
Point slope form requirements You must have one point and the slope of the line in order to write in point-slope form. You then substitute the slope in for the letter m and the numbers from the point in there correct spot.
Prentice Hall Algebra I Volume 1 Teacher’s Edition Pearson Education Inc., 2011 (p.311). Prentice Hall Algebra I Volume I Teacher’s Edition Teacher Resources Chapter 5, Pearson Education Inc., 2011 (Practice Forms) This citation is for slides (8-28). I