October 16, 2012
Goal 1: Compare and contrast the different
types of linear equations.
Slope-Intercept Form
Y = mx + b m = slope and b = y-intercept
Why does b = the y-intercept?????
y-intercept - is the point where the line
intersects the y-axis. (x = 0)
Example: Write an equation for a line given
the slope and y-intercept
Example 1: Slope = 2 and y-intercept = -5
Slope Intercept Standard Form Per 4 Page 1
Example 2:
Standard Form
Ax + By = C where A and B cannot = 0
Goal 2: Convert Linear equations from
Standard Form to Slope-Intercept Form
Ax + By = C Solve for y
Example 1:
4x + 2y = -8
Slope Intercept Standard Form Per 4 Page 2
Example 2:
9x - 3y =12
Example 3:
-6x - 9y = 18
Goal 3: Find the X and Y Intercepts of
Equations in Standard Form.
Example 1:
4x + 2y = -8
-To find y-intercept, set x = 0 and solve for y.
Slope Intercept Standard Form Per 4 Page 3
-To find y-intercept, set x = 0 and solve for y.
-To find x-intercept, set y = 0 and solve for x
Example 2:
-6x - 9y = 18
y-intercept:
x-intercept:
Slope Intercept Standard Form Per 4 Page 4