SlopeIntercept Form (Writing).notebook
March 03, 2016
Warm Up: Find the slope
1)
2) (4,7) and (6,4) 3) (18,12) and (18,18)
SlopeIntercept Form (of a Linear Function)
1
SlopeIntercept Form (Writing).notebook
March 03, 2016
You will be able to: Write the equation of a line in slope intercept form
Review: Linear Function: Function whose graph is a straight line or part of a straight line
2
SlopeIntercept Form (Writing).notebook
March 03, 2016
Yintercept: Point where the line crosses the yaxis
y intercept:
y intercept:
SlopeIntercept Form (of a linear equation):
y = mx +b Slope yintercept
g(x) = mx +b 3
SlopeIntercept Form (Writing).notebook
March 03, 2016
Example: Identify the slope and y intercept
y = x 2 Slope (m) = yintercept (b) =
White Boards: Identify the slope and y intercept
y = 2x + 1
y = 1x 5 5
y = 4x
4
SlopeIntercept Form (Writing).notebook
March 03, 2016
Example: Write an equation of the line in SlopeIntercept Form
Slope = 1
y=mx+b
yintercept = 0
White Boards: Write an equation of the line in SlopeIntercept Form
y=mx+b Slope: 5 Yintercept: 1 2
Slope: 1 Yintercept: 0
5
SlopeIntercept Form (Writing).notebook
March 03, 2016
Example: Write the slope intercept form of the equation of the line 1. Slope (m):
2. yintercept (b):
3. y = mx + b
White Boards: Write the slope intercept form of the equation of the line
y = mx + b
6
SlopeIntercept Form (Writing).notebook
March 03, 2016
White Boards: Write the slope intercept form of the equation of the line
f(x) = mx + b
White Boards: Write the slope intercept form of the equation of the line
y = mx + b
7
SlopeIntercept Form (Writing).notebook
March 03, 2016
Example: Write the slope intercept form of the equation of the line 2 Through (3, 1); m = 3 1. Plug the point and the slope into the equation y = mx + b and SOLVE for the yintercept (b)
b =
2. Write the equation of the line in slope intercept form
White Boards: Write the slope intercept form of the equation of the line y
b + x y=m
=m x
Through (1,2); slope = 7
+b
Through (2,1); Slope = 1 2 Through (2,5); Slope = 4
Through (4,3); Slope = 1 8
SlopeIntercept Form (Writing).notebook
March 03, 2016
Example: Write the slope intercept form of the equation of the line
Through (4,1) and (2,2)
1. Find the slope (Use the slope formula) y2 y1 = x2 x1
m =
2. Choose one (any) point and plug the point and the slope into the equation y = mx + b and solve for the yintercept (b)
b = 3. Write the equation of the line in slope intercept form
9
SlopeIntercept Form (Writing).notebook
March 03, 2016
White Boards: Write the slope intercept form of the equation of the line Through (0,3) and (2,5)
Through (3,1) and (0,4)
Through (4,4) and (0,2)
Through (4,3) and (1,1)
HOMEWORK:
WORKSHEET
10
